The Tb theorem for some inhomogeneous Besov and Triebel-Lizorkin spaces over space of homogeneous type

被引：3

作者：

Tao, Xiangxing ^{[1
]}

Kang, Yachan ^{[1
]}

Zheng, Taotao ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Spaces of homogeneous type; T b theorem; Para-accretive functions; Inhomogeneous Besov spaces; Inhomogeneous Triebel-Lizorkin spaces; LIPSCHITZ-SPACES;

D O I：

10.1016/j.jmaa.2023.127879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors give some new characterizations of the inhomogeneous Besov spaces and inhomogeneous Triebel-Lizorkin spaces respectively over space of homogeneous type, and establish the Tb theorems for the boundedness of the Calderon-Zygmund singular integral operator with non-convolution kernel on these new inhomogeneous Besov and Triebel-Lizorkin spaces.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：27

共 50 条

[41] Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences
Madani Moussai
Applied Mathematics-A Journal of Chinese Universities, 2018, 33 : 188 - 208
[42] INEQUALITIES OF GAGLIARDO-NIRENBERG TYPE IN REALIZED HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES
Benallia, Mohamed
Moussai, Madani
MATHEMATICAL REPORTS, 2020, 22 (01): : 19 - 39
[43] Herz type Besov and Triebel-Lizorkin spaces with variable exponent
Shi, Chune
Xu, Jingshi
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (04) : 907 - 921
[44] Some new Triebel-Lizorkin spaces on spaces of homogeneous type and their frame characterizations
YANG Dachun Department of Mathematics
Science China Mathematics, 2005, (01) : 12 - 39
[45] Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces
XU JingShi
ScienceChina(Mathematics), 2014, 57 (02) : 315 - 331
[46] Some new Triebel-Lizorkin spaces on spaces of homogeneous type and their frame characterizations
Dachun Yang
Science in China Series A: Mathematics, 2005, 48 : 12 - 39
[47] Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces
JingShi Xu
Science China Mathematics, 2014, 57 : 315 - 331
[48] Variable exponent Herz type Besov and Triebel-Lizorkin spaces
Xu, Jingshi
Yang, Xiaodi
GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (01) : 135 - 148
[49] Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences
Moussai, Madani
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2018, 33 (02) : 188 - 208
[50] Herz type Besov and Triebel-Lizorkin spaces with variable exponent
Chune Shi
Jingshi Xu
Frontiers of Mathematics in China, 2013, 8 : 907 - 921

← 1 2 3 4 5 →