The molecular decomposition of anisotropic mixed-norm Hardy spaces and their application

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-04

Kang Hu, Qingd ng Guo

引用次数: 0

Abstract

. Let (cid:2) p ∈ ( 0 , ∞ ) n , A be an expansive dilation on R n , and H (cid:2) pA ( R n ) be the anisotropic mixed-norm Hardy space de ﬁ ned via the non-tangential grand maximal function. In this paper, the authors establish its molecular decomposition. As an application, the authors obtain the boundedness of a class of singular integral operators from H (cid:2) pA ( R n ) to H (cid:2) pA ( R n ) . These results are still new even in the classical isotropic setting (in the case A : = 2I n × n ).

查看原文本刊更多论文

各向异性混合范数Hardy空间的分子分解及其应用

．让p (cid: 2)∈n(0 - 9),∞),A be an expansive dilation on n, R和H (cid: 2) pA (R n)成为《anisotropic mixed-norm哈迪通过《太空deﬁ斯内德non-tangential大最高功能。在这篇论文中，权威建立了分子分解。美国应用程序，当局发现H (cid:2) pA (R)到H (cid:2) pA (R)甚至这些results是还是新古典isotropic设置(《凯斯》A: = 2I n×n)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.