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Academic literature on the topic 'Besicovitch Norm'

Author: Grafiati
Published: 13 July 2024

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Journal articles on the topic "Besicovitch Norm"

1

Boulahia, Fatiha, and Slimane Hassaine. "Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm." Opuscula Mathematica 41, no. 5 (2021): 629–48. http://dx.doi.org/10.7494/opmath.2021.41.5.629.

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In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.
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2

LUCAS, ALAIN. "Hausdorff–Besicovitch measure for random fractals of Chung's type." Mathematical Proceedings of the Cambridge Philosophical Society 133, no. 3 (November 2002): 487–513. http://dx.doi.org/10.1017/s0305004102005984.

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Let {W(t):t [ges ] 0} denote a Wiener process, and set [Sscr ] for the unit ball of the reproducing kernel Hilbert space pertaining to the restriction of W on [0,1], with Hilbert norm [mid ] · [mid ]H. Gorn and Lifshits [8] have shown that, whenever f ∈ [Sscr ] fulfills [mid ] f [mid ]H = 1 and has Lebesgue derivative of bounded variation, the rate of clustering of (2h log(1/h))−½(W(t + h·) − W(t)) to f is of the order O((log(1/h))−2/3. In this paper, we show that the set of exceptional points in [0,1] where this rate is reached constitutes a random fractal whose Hausdorff–Besicovitch measure is evaluated.
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3

Picardello, Massimo A. "Function Spaces with BoundedLpMeans and Their Continuous Functionals." Abstract and Applied Analysis 2014 (2014): 1–26. http://dx.doi.org/10.1155/2014/609525.

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This paper studies typical Banach and complete seminormed spaces of locally summable functions and their continuous functionals. Such spaces were introduced long ago as a natural environment to study almost periodic functions (Besicovitch, 1932; Bohr and Fölner, 1944) and are defined by boundedness of suitableLpmeans. The supremum of such means defines a norm (or a seminorm, in the case of the full Marcinkiewicz space) that makes the respective spaces complete. Part of this paper is a review of the topological vector space structure, inclusion relations, and convolution operators. Then we expand and improve the deep theory due to Lau of representation of continuous functional and extreme points of the unit balls, adapt these results to Stepanoff spaces, and present interesting examples of discontinuous functionals that depend only on asymptotic values.
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4

Morsli, Mohamed, and Fazia Bedouhene. "On the uniform convexity of the Besicovitch–Orlicz space of almost periodic functions with Orlicz norm." Colloquium Mathematicum 102, no. 1 (2005): 97–111. http://dx.doi.org/10.4064/cm102-1-9.

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5

Slimane, Hassaine, and Boulahia Fatiha. "Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm." Commentationes Mathematicae Universitatis Carolinae 62, no. 1 (July 28, 2021): 67–79. http://dx.doi.org/10.14712/1213-7243.2021.007.

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6

Bedouhene, Fazia, and Mohamed Morsli. "On the k-convexity of the Besicovitch–Orlicz space of almost periodic functions with the Orlicz norm." Colloquium Mathematicum 109, no. 1 (2007): 107–18. http://dx.doi.org/10.4064/cm109-1-9.

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7

LUCAS, A., and E. THILLY. "Hausdorff–Besicovitch measure of fractal functional limit laws induced by Wiener process in Hölder norms." Annales de l'Institut Henri Poincare (B) Probability and Statistics 42, no. 3 (May 2006): 373–92. http://dx.doi.org/10.1016/j.anihpb.2005.06.001.

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8

Daoui, A., M. Morsli, and M. Smaali. "On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm." Commentationes Mathematicae 53, no. 2 (December 15, 2013). http://dx.doi.org/10.14708/cm.v53i2.786.

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