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
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页码:226 / 242
页数:17
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