Results 191 to 200 of about 755,891 (241)
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Extrapolation of Compactness on Banach Function Spaces
Journal of Fourier Analysis and Applications, 2023We prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions.
E. Lorist, Z. Nieraeth
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Product Hardy Spaces Meet Ball Quasi-Banach Function Spaces
Journal of Geometric Analysis, 2023The main purpose of this paper is to develop the theory of product Hardy spaces built on Banach lattices on Rn×Rm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
J. Tan
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Forum mathematicum, 2022
Let ( 𝕏 , d , μ ) {(\mathbb{X},d,\mu)} be a space of homogeneous type in the sense of R. R. Coifman and G. Weiss, and let X ( 𝕏 ) {X(\mathbb{X})} be a ball quasi-Banach function space on 𝕏 {\mathbb{X}} .
Jingsong Sun, Dachun Yang, Wen Yuan
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Let ( 𝕏 , d , μ ) {(\mathbb{X},d,\mu)} be a space of homogeneous type in the sense of R. R. Coifman and G. Weiss, and let X ( 𝕏 ) {X(\mathbb{X})} be a ball quasi-Banach function space on 𝕏 {\mathbb{X}} .
Jingsong Sun, Dachun Yang, Wen Yuan
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Calculus of Variations and Partial Differential Equations, 2021
Let X be a ball Banach function space on Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}
F. Dai +4 more
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Let X be a ball Banach function space on Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}
F. Dai +4 more
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Erdélyi–Kober fractional integral operators on ball Banach function spaces
, 2021We establish the boundedness of the Erdélyi-Kober fractional integral operators on ball Banach function spaces. In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces.
K. Ho
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Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces*
Applicable Analysis, 2021Let X be a ball quasi-Banach function space on and the associated Hardy space. In this article, under the assumptions that the Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued inequality on X and is bounded on the associated
Long Huang, D. Chang, Dachun Yang
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Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
Results in Mathematics, 2019Let X be a ball quasi-Banach function space satisfying some minor assumptions. In this article, the authors establish the characterizations of $$H_X(\mathbb {R}^n)$$ H X ( R n ) , the Hardy space associated with X , via the Littlewood–Paley g -functions ...
Fan Wang, Dachun Yang, Sibei Yang
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Banach spaces and Banach lattices of singular functions
Studia Mathematica, 2021Let \(\mathcal{CBV}\) denote the set of continuous functions on \([0,1]\) that are of bounded variation. A function \(f \in \mathcal{CBV}\) is said to be \textit{singular} provided that \(f'\) exists and equals \(0\) a.e. The class \(\mathcal S\) of \textit{strongly singular} functions consists of those singular functions \(f\) that are non-constant on
Bernal-González, L. +3 more
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2004
Classical function spaces, such as those of Lebesgue and Sobolev type, have played and continue to play a most important role in Analysis. With the passage of time, questions have naturally arisen which for their complete solution require scales of spaces more finely tuned than these famous predecessors. One of the ways of meeting this need is by means
David E. Edmunds, W. Desmond Evans
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Classical function spaces, such as those of Lebesgue and Sobolev type, have played and continue to play a most important role in Analysis. With the passage of time, questions have naturally arisen which for their complete solution require scales of spaces more finely tuned than these famous predecessors. One of the ways of meeting this need is by means
David E. Edmunds, W. Desmond Evans
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Biholomorphic Functions in Dual Banach Spaces
Complex Analysis and Operator Theory, 2011The main result of the paper is Theorem 2.9 stating that a holomorphic self map \(f:G\to G\) is surjective with holomorphic inverse whenever \(G\) is a bounded domain in a separable dual Banach space \(E=X^*\) with the holomorphic separation property (i.e., for all \(x\in\partial G\) there is a holomorphic function \(h_x:U_x\to\mathbb C\) on a ...
Carrión, Humberto +2 more
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