Operators on Mixed-Norm Amalgam Spaces via Extrapolation

被引：2

作者：

Lu, Y. ^{[1
]}

Zhou, J. ^{[1
]}

Wang, S. ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Xinjiang Univ, Chongqing, Peoples R China

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 04期

基金：

中国国家自然科学基金;

关键词：

BMO(R-n); mixed-norm space; amalgam space; weak space; Littlewood-Paley function; characterize; INEQUALITIES; COMMUTATORS; BOUNDEDNESS; MODULATION; LP;

D O I：

10.3103/S1068362323040052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let t is an element of (0,infinity), (->)p is an element of (1,infinity)(n) and (->)q is an element of [1,infinity)(n). We establish versions of the Rubio de Francia extrapolation theorem, and further obtain the bounds for some classical operators and the commutators in harmonic analysis on the mixed-norm amalgam space (L(->)p, L(->)q)t(R-n). As an application, a characterization of the mixed-norm amalgam spaces is given.

引用

页码：226 / 242

页数：17

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