Block Decomposition and Weighted Hausdorff Content

Author:

Saito Hiroki,Tanaka Hitoshi,Watanabe Toshikazu

Abstract

AbstractBlock decomposition of $L^{p}$ spaces with weighted Hausdorff content is established for $0<p\leqslant 1$ and the Fefferman–Stein type inequalities are shown for fractional integral operators and some variants of maximal operators.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Capacitary maximal inequalities and applications;Journal of Functional Analysis;2024-06

2. CHOQUET INTEGRALS, HAUSDORFF CONTENT AND FRACTIONAL OPERATORS;Bulletin of the Australian Mathematical Society;2024-03-19

3. On functions of bounded β-dimensional mean oscillation;Advances in Calculus of Variations;2023-06-01

4. Dual of the Choquet spaces with general Hausdorff content;Studia Mathematica;2022

5. A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces;Taiwanese Journal of Mathematics;2021-01-01

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