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

[1] The Tb theorem for inhomogeneous Besov and Triebel-Lizorkin spaces and its application
Liao, Fanghui
Liu, Zongguang
Zhang, Xiaojin
GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (02) : 253 - 267
[2] New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Yan Chang Han
Acta Mathematica Sinica, English Series, 2009, 25 : 1787 - 1804
[3] New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Han, Yan Chang
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (11) : 1787 - 1804
[4] Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces
Han, YS
Yang, DC
STUDIA MATHEMATICA, 2003, 156 (01) : 67 - 97
[5] Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Yang, DC
POTENTIAL ANALYSIS, 2003, 19 (02) : 193 - 210
[6] New characterizations of Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Han, Yanchang
Xu, Yanbo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 305 - 318
[7] Difference Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type
Wang, Fan
He, Ziyi
Yang, Dachun
Yuan, Wen
COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2022, 10 (03) : 483 - 542
[8] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
Yang, DC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 46 (02): : 187 - 199
[9] Tl theorem for Besov and Triebel-Lizorkin spaces
DENG Donggao & HAN Yongsheng Department of Mathematics
Department of Mathematics
Science China Mathematics, 2005, (05) : 657 - 665
[10] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
Dachun Yang
Science in China Series A: Mathematics, 2003, 46 : 187 - 199

← 1 2 3 4 5 →