Дисертації з теми "Hardy's inequalities"
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Irvine, William Thomas Mark. "Hardy's thought experiment, Bell's inequalities and entanglement from photonic crystals." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442452.
Повний текст джерелаTidblom, Jesper. "Improved Lp Hardy Inequalities." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-615.
Повний текст джерелаWedestig, Anna. "Weighted inequalities of Hardy-type and their limiting inequalities /." Luleå, 2003. http://epubl.luth.se/1402-1544/2003/17.
Повний текст джерелаJohansson, Maria. "Hardy and Carleman type inequalities /." Luleå, 2004. http://epubl.luth.se/1402-1757/2004/81.
Повний текст джерелаHandley, G. D. "Hilbert and Hardy type inequalities /." Connect to thesis, 2005. http://eprints.unimelb.edu.au/archive/00000818.
Повний текст джерелаJohansson, Maria. "Carleman type inequalities and Hardy type inequalities for monotone functions /." Luleå : Luleå University of Technology, 2007. http://epubl.ltu.se/1402-1544/2007/53/.
Повний текст джерелаRoutin, Eddy. "Local Tb theorems and Hardy type inequalities." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00656023.
Повний текст джерелаAbuelela, Waleed Mostafa Kamal Abdelfatah. "Hardy type inequalities for non-convex domains." Thesis, University of Birmingham, 2010. http://etheses.bham.ac.uk//id/eprint/1268/.
Повний текст джерелаChen, Tieling. "Weak and strong inequalities for Hardy type operators." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ58204.pdf.
Повний текст джерелаOkpoti, Christopher Adjei. "Weight characterizations of Hardy and Carleman type inequalities /." Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/36/.
Повний текст джерелаUshakova, Elena P. "Norm inequalities of Hardy and Pólya-Knopp types /." Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/53/.
Повний текст джерелаTidblom, Jesper. "Improved Lp Hardy Inequalities." Doctoral thesis, Stockholm University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-615.
Повний текст джерелаPaper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).
The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. Hoffmann-Ostenhof and A. Laptev, which dealt with the special case p=2.
Paper 2 : A Hardy inequality in the Half-space.
Here we prove a Hardy-type inequality in the half-space which generalize an inequality originally proved by V. Maz'ya to the so-called L^p case. This inequality had previously been conjectured by the mentioned author. We will also improve the constant appearing in front of the reminder term in the original inequality (which is the first improved Hardy inequality appearing in the litterature).
Paper 3 : Hardy type inequalities for Many-Particle systems.
In this article we prove some results about the constants appearing in Hardy inequalities related to many particle systems. We show that the problem of estimating the best constants there is related to some interesting questions from Geometrical combinatorics. The asymptotical behaviour, when the number of particles approaches infinity, of a certain quantity directly related to this, is also investigated.
Paper 4 : Various results in the theory of Hardy inequalities and personal thoughts.
In this article we give some further results concerning improved Hardy inequalities in Half-spaces and other conic domains. Also, some examples of applications of improved Hardy inequalities in the theory of viscous incompressible flow will be given.
Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators." Doctoral thesis, KTH, Matematik (Avd.), 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.
Повний текст джерелаQC 20100708
Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators /." Stockholm : Institutionen för matematik, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.
Повний текст джерелаOkpoti, Christopher Adjei. "Weight characterizations of discrete Hardy and Carleman type inequalities /." Luleå : Luleå University of Technology, 2005. http://epubl.luth.se/1402-1757/2005/45.
Повний текст джерелаProkhorov, Dmitry V. "Weighted inequalities involving Riemann-Liouville and Hardy-type operators /." Luleå, 2003. http://epubl.luth.se/1402-1544/2003/38.
Повний текст джерелаArendarenko, Larissa. "Some new Hardy-type Inequalities for integral operators with kernels." Licentiate thesis, Luleå tekniska universitet, Matematiska vetenskaper, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26661.
Повний текст джерелаGodkänd; 2011; 20111114 (larare); LICENTIATSEMINARIUM Ämnesområde: Matematik/Mathematics Examinator: Professor Lars-Erik Persson, Institutionen för teknikvetenskap och matematik, Luleå tekniska universitet Diskutant: Professor Massimo Lanza de Cristoforis, Dipartamento di Matematica, Universita degli Studi di Padova, Italy Tid: Tisdag den 20 december 2011 kl 10.00 Plats: D2214-15, Luleå tekniska universitet
Nassyrova, Maria. "Weighted inequalities involving Hardy-type and limiting geometric mean operators /." Luleå, 2002. http://epubl.luth.se/1402-1544/2002/03/index.html.
Повний текст джерелаSababheh, Mohammad Suboh. "Constructions of bounded functions related to two-sided Hardy inequalities." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102160.
Повний текст джерелаIn 1993, I. Klemes investigated one of the constructions (we shall call it the algebraic construction) and proved what is called a mixed norm generalization of Hardy's inequality. It turns out that we can work with the same construction and examine more properties of it in order to get more results.
The objectives of the thesis are to give more detailed properties of the algebraic construction and to use these properties in order to prove various versions of two-sided Hardy inequalities.
D'Ambrosio, Lorenzo. "Hardy Inequalities and Liouville Type Theorems Associated to Degenerate Operators." Doctoral thesis, SISSA, 2002. http://hdl.handle.net/20.500.11767/4170.
Повний текст джерелаAermark, Lior Alexandra. "Hardy and spectral inequalities for a class of partial differential operators." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-97067.
Повний текст джерелаSloane, Craig Andrew. "Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41125.
Повний текст джерелаKalybay, Aigerim A. "A new development of Nikol'skii - Lizorkin and Hardy type inequalities with applications /." Luleå : Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/21/.
Повний текст джерелаRuszkowski, Bartosch [Verfasser], and Timo [Akademischer Betreuer] Weidl. "Spectral and Hardy inequalities for the Heisenberg Laplacian / Bartosch Ruszkowski ; Betreuer: Timo Weidl." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2017. http://d-nb.info/113065706X/34.
Повний текст джерелаAlbuquerque, Nacib André Gurgel e. "Hardy-Littlewood/Bohnenblust-Hille multilinear inequalities and Peano curves on topological vector spaces." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7448.
Повний текст джерелаCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
This work is divided in two subjects. The first concerns about the Bohnenblust-Hille and Hardy- Littlewood multilinear inequalities. We obtain optimal and definitive generalizations for both inequalities. Moreover, the approach presented provides much simpler and straightforward proofs than the previous one known, and we are able to show that in most cases the exponents involved are optimal. The technique used is a combination of probabilistic tools and of an interpolative approach; this former technique is also employed in this thesis to improve the constants for vector-valued Bohnenblust-Hille type inequalities. The second subject has as starting point the existence of Peano spaces, that is, Haurdor spaces that are continuous image of the unit interval. From the point of view of lineability we analyze the set of continuous surjections from an arbitrary euclidean spaces on topological spaces that are, in some natural sense, covered by Peano spaces, and we conclude that large algebras are found within the families studied. We provide several optimal and definitive result on euclidean spaces, and, moreover, an optimal lineability result on those special topological vector spaces.
Este trabalho édividido em dois temas. O primeiro diz respeito às desigualdades multilineares de Bohnenblust-Hille e Hardy-Littlewood. Obtemos generalizações ótimas e definitivas para ambas desigualdades. Mais ainda, a abordagem apresentada fornece demonstrações mais simples e diretas do que as conhecidas anteriormente, além de sermos capazes de mostrar que os expoentes envolvidos são ótimos em varias situações. A técnica utilizada combina ferramentas probabilísticas e interpolativas; esta ultima e ainda usada para melhorar as estimativas das versões vetoriais da desigualdade de Bohnenblust-Hille. O segundo tema possui como ponto de partida a existência de espaços de Peano, ou seja, os espaços de Hausdor que são imagem contínua do intervalo unitário. Sob o ponto de vista da lineabilidade, analisamos o conjunto das sobrejecoes contínuas de um espaço euclidiano arbitrário em um espaço topológico que, de certa forma, e coberto por espaços de Peano, e concluímos que grandes álgebras são encontradas nas famílias estudadas. Fornecemos vários resultados ótimos e definitivos em espaços euclidianos, e, mais ainda, um resultado de lineabilidade ótimo naqueles espaços vetoriais topológicos especiais.
Portmann, Fabian. "Spectral Inequalities and Their Applications in Quantum Mechanics." Doctoral thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145210.
Повний текст джерелаQC 20140520
Moradifam, Amir. "Hardy-Rellich inequalities and the critical dimension of fourth order nonlinear elliptic eigenvalue problems." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/27775.
Повний текст джерелаAbylayeva, Akbota. "Inequalities for some classes of Hardy type operators and compactness in weighted Lebesgue spaces." Doctoral thesis, Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-59667.
Повний текст джерелаAraújo, Gustavo da Silva. "Some classical inequalities, summability of multilinear operators and strange functions." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9310.
Повний текст джерелаMade available in DSpace on 2017-08-23T16:38:50Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1943524 bytes, checksum: 935ea8764b03a0cab23d8c7c772a137d (MD5) Previous issue date: 2016-03-08
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
This work is divided into three parts. In the first part, we investigate the behavior of the constants of the Bohnenblust–Hille and Hardy–Littlewood polynomial and multilinear inequalities. In the second part, we show an optimal spaceability result for a set of non-multiple summing forms on `p and we also generalize a result related to cotype (from 2010) as highlighted by G. Botelho, C. Michels, and D. Pellegrino. Moreover, we prove new coincidence results for the class of absolutely and multiple summing multilinear operators (in particular, we show that the well-known Defant–Voigt theorem is optimal). Still in the second part, we show a generalization of the Bohnenblust–Hille and Hardy–Littlewood multilinear inequalities and we present a new class of summing multilinear operators, which recovers the class of absolutely and multiple summing operators. In the third part, it is proved the existence of large algebraic structures inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of non-constant di↵erentiable real functions vanishing on dense sets, and the family of noncontinuous separately continuous real functions.
Este trabalho est´a dividido em trˆes partes. Na primeira parte, investigamos o comportamento das constantes das desigualdades polinomial e multilinear de Bohnenblust–Hille e Hardy–Littlewood. Na segunda parte, mostramos um resultado ´otimo de espa¸cabilidade para o complementar de uma classe de operadores m´ultiplo somantes em `p e tamb´em generalizamos um resultado relacionado a cotipo (de 2010) devido a G. Botelho, C. Michels e D. Pellegrino. Al´em disso, provamos novos resultados de coincidˆencia para as classes de operadores multilineares absolutamente e m´ultiplo somantes (em particular, mostramos que o famoso teorema de Defant–Voigt ´e ´otimo). Ainda na segunda parte, mostramos uma generaliza¸c˜ao das desigualdades multilineares de Bohnenblust–Hille e Hardy–Littlewood e apresentamos uma nova classe de operadores multilineares somantes, a qual recupera as classes dos operadores multilineares absolutamente e m´ultiplo somantes. Na terceira parte, provamos a existˆencia de grandes estruturas alg´ebricas dentro de certos conjuntos, como, por exemplo, a fam´ılia das fun¸c˜oes mensur´aveis `a Lebesgue que s˜ao sobrejetivas em um sentido forte, a fam´ılia das fun¸c˜oes reais n˜ao constantes e diferenci´aveis que se anulam em um conjunto denso e a fam´ılia das fun¸c˜oes reais n˜ao cont´ınuas e separadamente cont´ınuas.
Ekholm, Tomas. "Schrödinger Operators in Waveguides." Doctoral thesis, KTH, Mathematics (Dept.), 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-410.
Повний текст джерелаIn this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. If we include an attractive electric potential in the model or curve the domain, then bound states will always occur with energy below the bottom of the essential spectrum. We prove that a magnetic field stabilises the threshold of the essential spectrum against small perturbations. We deduce this fact from a magnetic Hardy inequality, which has many interesting applications in itself.
In Paper I we prove the magnetic Hardy inequality in a two-dimensional waveguide. As an application, we establish that when a magnetic field is present, a small local deformation or a small local bending of the waveguide will not create bound states below the essential spectrum.
In Paper II we study the Dirichlet Laplacian operator in a three-dimensional waveguide, whose cross-section is not rotationally invariant. We prove that if the waveguide is locally twisted, then the lower edge of the spectrum becomes stable. We deduce this from a Hardy inequality.
In Paper III we consider the magnetic Schrödinger operator in a three-dimensional waveguide with circular cross-section. If we include an attractive potential, eigenvalues may occur below the bottom of the essential spectrum. We prove a magnetic Lieb-Thirring inequality for these eigenvalues. In the same paper we give a lower bound on the ground state of the magnetic Schrödinger operator in a disc. This lower bound is used to prove a Hardy inequality for the magnetic Schrödinger operator in the original waveguide setting.
In Paper IV we again study the two-dimensional waveguide. It is known that if the boundary condition is changed locally from Dirichlet to magnetic Neumann, then without a magnetic field bound states will occur with energies below the essential spectrum. We however prove that in the presence of a magnetic field, there is a critical minimal length of the magnetic Neumann boundary condition above which the system exhibits bound states below the threshold of the essential spectrum. We also give explicit bounds on the critical length from above and below.
Zghal, Mohamed Khalil. "Inégalités de type Trudinger-Moser et applications." Thesis, Paris Est, 2016. http://www.theses.fr/2016PESC1077/document.
Повний текст джерелаThis thesis focuses on some Trudinger-Moser type inequalities and their applications to the study of Sobolev embeddings they induce into the Orlicz spaces, and the investigation of nonlinear partial differential equations with exponential growth.The work presented here includes three parts. The first part is devoted to the description of the lack of compactness of the 4D Sobolev embedding into the Orlicz space in the radialframework.The aim of the second part is twofold. Firstly, we characterize the lack of compactness of the 2D Sobolev embedding into the different classes of Orlicz spaces. Secondly, we undertakethe study of the nonlinear Klein-Gordon equation with exponential growth, where the Orlicz norm plays a crucial role. In particular, issues of global existence, scattering and qualitativestudy are investigated.In the third part, we establish sharp Adams-type inequalities invoking Hardy inequalities, then we give a description of the lack of compactness of the Sobolev embeddings they induce
Kumar, Rakesh. "Hardy's inequalities for Grushin operator and Hermite multipliers on Modulation spaces." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5582.
Повний текст джерелаCSIR
Lin, Shu-Huey, and 林淑惠. "Hardy-Littlewood type inequalities for Laguerre series." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/69719741984032117283.
Повний текст джерелаJIAN, SHOU-PING, and 簡守平. "On hardy type inequalities in two variables." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/43298069225292959158.
Повний текст джерелаSkrzypczak, Iwona. "Hardy–type inequalities and nonlinear eigenvalue problems." Doctoral thesis, 2013.
Знайти повний текст джерелаSu, Hung-Wei, and 蘇弘偉. "A study of Hardy''s inequalities in the weighted Hardy spaces." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/46380868668375971128.
Повний текст джерела國立中山大學
應用數學系研究所
94
In this paper, we prove a weighted atom inequality for Hermite expansions and want to obtain similar type of inequalities for 1-dimensional Hermite expansions of weighted Hardy''s inequalities.
"The Best constant for a general Sobolev-Hardy inequality." Chinese University of Hong Kong, 1991. http://library.cuhk.edu.hk/record=b5886942.
Повний текст джерелаThesis (M.Phil.)--Chinese University of Hong Kong, 1991.
Bibliography: leaves 31-32.
Introduction
Chapter Section 1. --- A Minimization Problem
Chapter Section 2. --- Radial Symmetry of The Solution
Chapter Section 3. --- Proof of The Main Theorem
References
Zeng, Guan-Cheng, and 曾冠逞. "On Hardy-Hilbert Type Inequalities and Stability of Cauchy Additive Mappings." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/80965927858906631726.
Повний текст джерела國立中央大學
數學研究所
96
This thesis is concerned with two subjects of research; Hardy-Hilbert type inequalities and the stability of Cauchy additive mappings. The following are done : 1) to extend B. Yang''s result on the norm of a bounded self- adjoint integral operator T : L2 (0,∞) → L2 (0,∞) and its applications to Hardy-Hilbert type integral inequalities from the space L2 (0,∞) to the space Lp (0,∞) with p > 1 ; 2) to generalize Rassias''s theorem on the stability of Cauchy additive mappings ; 3) to give a correct proof of Park et al''s theorem in [6]; 4) to approximate the odd part of a certain vector mapping by a unique group homomorphism and ring homomorphism, respectively.
Pappalardo, Francesco. "Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators." Tesi di dottorato, 2018. http://www.fedoa.unina.it/12587/1/pappalardo_francesco_31.pdf.
Повний текст джерелаPasteczka, Paweł. "Analytic methods in inequalities concerning means." Doctoral thesis, 2015.
Знайти повний текст джерелаBORDONI, SARA. "Nonlinear elliptic problems in the Heisenberg group." Doctoral thesis, 2018. http://hdl.handle.net/2158/1121183.
Повний текст джерелаBathory, Michal. "Konjugovaná funkce." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-347544.
Повний текст джерела