WEIGHTED MULTIPARAMETER LOCAL HARDY SPACES

被引：1
|
作者：
He, Shaoyong [1 ]
Chen, Jiecheng [2 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 51卷 / 05期
基金：
中国国家自然科学基金;
关键词：
weighted multiparameter local Hardy spaces; discrete multiparameter local Calderon identity; multiparameter inhomogeneous singular integral operators; discrete Littlewood-Paley-Stein theory; SINGULAR-INTEGRALS; HP-THEORY; PRODUCT; VERSION;
D O I：
10.1216/rmj.2021.51.1649
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We apply the discrete multiparameter local Calderon identity and Littlewood-Paley-Stein theory with weights to carry out the weighted multiparameter local Hardy spaces h(w)(p) of arbitrary k number of parameters (k >= 3). We will derive the (h(w)(p), h(w)(p)) and (h(w)(p), L-w(p)) (0 < p <= 1) boundedness for multiparameter inhomogeneous singular integral operators with slightly weaker assumptions on the kernel.
引用
收藏
页码：1649 / 1670
页数：22
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