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

IF 1.1 3区 数学 Q1 MATHEMATICS
Kang Hu, Qingd ng Guo
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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 ).
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。
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来源期刊
Journal of Mathematical Inequalities
Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.90
自引率
3.40%
发文量
56
审稿时长
6-12 weeks
期刊介绍: The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.
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