线性算子在各向异性加权Herz型Hardy空间上的有界性

doi:10.6040/j.issn.1671-9352.0.2013.628

山东大学学报（理学版）

线性算子在各向异性加权Herz型Hardy空间上的有界性

周淑娟,刘素英

青岛大学数学科学学院, 山东青岛 266071

收稿日期:2013-12-19 出版日期:2014-04-20 发布日期:2014-06-03
作者简介:周淑娟(1978- ),女,硕士,讲师,研究方向为调和分析与小波分析. E-mail:qingdazsj@163.com
基金资助:
国家自然科学基金资助项目(11041004);国家自然科学基金数学天元基金项目(11326093);青岛大学青年科研基金

Boundedness of linear operators on the anisotropic #br# weighted Herz-type Hardy spaces

ZHOU Shu-juan, LIU Su-ying

College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China

Received:2013-12-19 Online:2014-04-20 Published:2014-06-03

摘要/Abstract

摘要： 运用各向异性加权Herz型Hardy空间的原子刻画, 给出了一类线性算子在各向异性加权Herz型Hardy空间上的有界性结果,并得到了该空间上的插值定理。

关键词: 有界性;插值, 各向异性;权;Herz型Hardy空间

Abstract: Applying the atomic decomposition of the anisotropic weighted Herz-type Hardy spaces, the boundedness of some linear operators on the anisotropic weighted Herz-type Hardy spaces are studied, and the interpolation theorem is obtained on those spaces.

Key words: boundedness, interpolation, weight, anisotropic, Herz-type Hardy space

周淑娟,刘素英. 线性算子在各向异性加权Herz型Hardy空间上的有界性[J]. 山东大学学报（理学版）, 2014, 49(04): 74-78.

ZHOU Shu-juan, LIU Su-ying. Boundedness of linear operators on the anisotropic #br# weighted Herz-type Hardy spaces[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(04): 74-78.

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线性算子在各向异性加权Herz型Hardy空间上的有界性

Boundedness of linear operators on the anisotropic #br# weighted Herz-type Hardy spaces

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