Relevant bibliographies by topics / Littlewood-Paley inequality

Academic literature on the topic 'Littlewood-Paley inequality'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Littlewood-Paley inequality"

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Stevic, Stevo. "A Littlewood-Paley type inequality." Bulletin of the Brazilian Mathematical Society 34, no. 2 (July 1, 2003): 211–17. http://dx.doi.org/10.1007/s00574-003-0008-1.

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2

Wilson, J. M. "A semi-discrete Littlewood–Paley inequality." Studia Mathematica 153, no. 3 (2002): 207–33. http://dx.doi.org/10.4064/sm153-3-1.

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Djordjević, Olivera, and Miroslav Pavlović. "On a Littlewood-Paley type inequality." Proceedings of the American Mathematical Society 135, no. 11 (November 1, 2007): 3607–12. http://dx.doi.org/10.1090/s0002-9939-07-09016-8.

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Wilson, J. Michael. "Note on a Littlewood-Paley inequality." Proceedings of the American Mathematical Society 128, no. 12 (June 7, 2000): 3609–12. http://dx.doi.org/10.1090/s0002-9939-00-05504-0.

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5

Choa, Jun Soo, and Hong Oh Kim. "A Littlewood and Paley-type inequality on the ball." Bulletin of the Australian Mathematical Society 50, no. 2 (October 1994): 265–71. http://dx.doi.org/10.1017/s0004972700013721.

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6

Liu, Lanzhe. "Sharp endpoint inequality for multilinear Littlewood-Paley operator." Kodai Mathematical Journal 27, no. 2 (June 2004): 134–43. http://dx.doi.org/10.2996/kmj/1093351320.

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Prestini, Elena, and Per Sjölin. "A littlewood-paley inequality for the Carleson operator." Journal of Fourier Analysis and Applications 6, no. 5 (September 2000): 457–66. http://dx.doi.org/10.1007/bf02511540.

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SHIGEKAWA, Ichiro, and Nobuo YOSHIDA. "Littlewood-Paley-Stein inequality for a symmetric diffusion." Journal of the Mathematical Society of Japan 44, no. 2 (April 1992): 251–80. http://dx.doi.org/10.2969/jmsj/04420251.

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9

Pichorides, S. K. "A note on the Littlewood-Paley square function inequality." Colloquium Mathematicum 60, no. 2 (1990): 687–91. http://dx.doi.org/10.4064/cm-60-61-2-687-691.

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10

Borovitskiy, V. "Weighted Littlewood–Paley inequality for arbitrary rectangles in ℝ²." St. Petersburg Mathematical Journal 32, no. 6 (October 20, 2021): 975–97. http://dx.doi.org/10.1090/spmj/1680.

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Abstract:
Weighted counterparts of the one-sided Littlewood–Paley inequalities for arbitrary rectangles in R 2 \mathbb {R}^2 are proved. For a partition I \mathcal {I} of the plane R 2 \mathbb {R}^2 into rectangles with sides parallel to coordinate axes and a weight w ( ⋅ , ⋅ ) w(\,\cdot \,, \,\cdot \,) satisfying the two-parameter Muckenhoupt condition A p / 2 A_{p/2} for 2 > p > ∞ 2 > p > \infty , the following inequality holds: c p , w ‖ { M I f } I ∈ I ‖ L w p ( l 2 ) ≤ ‖ f ‖ L w p , \begin{equation*} c_{p, w}\lVert \{M_I f\}_{I \in \mathcal {I}} \rVert _{L^p_w(l^2)} \leq \lVert f \rVert _{L_w^p} , \end{equation*} where the symbols M I f ^ = f ^ χ I \widehat {M_I f} = \widehat {f} \chi _{I} denote the corresponding Fourier multipliers. For I \mathcal {I} as above, p p in the range 0 > p > 2 0 > p > 2 , and weights w w satisfying a dual condition α r ( p ) \alpha _{r(p)} , the following inequality holds ‖ ∑ I ∈ I f I ‖ L w p ≤ C p , w ‖ { f I } I ∈ I ‖ L w p ( l 2 ) , where supp ⁡ f I ^ ⊆ I for I ∈ I . \begin{equation*} \Big \|{\sum }_{I \in \mathcal {I}} f_I\Big \|_{L^p_w} \leq C_{p, w} \big \| \left \{ f_I \right \}_{I \in \mathcal {I}} \big \|_{L^p_w(l^2)} , \text { where } \operatorname {supp}{\widehat {f_I}} \subseteq I \text { for } I \in \mathcal {I}. \end{equation*} The proof is based on the theory of two-parameter singular integral operators on Hardy spaces developed by R. Fefferman and some of its more recent weighted generalizations. The former and the latter inequalities are extensions to the weighted setting, respectively, for Journe’s result of 1985 and Osipov’s result of 2010.
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Book chapters on the topic "Littlewood-Paley inequality"

1

Cruzeiro, Ana Bela, and Xicheng Zhang. "A Littlewood-Paley Type Inequality on the Path Space." In Seminar on Stochastic Analysis, Random Fields and Applications IV, 57–67. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7943-9_4.

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2

"The Littlewood-Paley-Stein inequality." In Translations of Mathematical Monographs, 47–77. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/mmono/224/03.

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