Boundedness of θ-type Caldern-Zygmund operators on non homogeneous metric measure space

被引：6

作者：

Ri, Chol ^{[1
]}

Zhang, Zhenqiu ^{[2
,3
]}

机构：

[1] Kim Hyong Jik Normal Univ, Dept Math, Pyongyang, North Korea

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2016年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Non-homogeneous spaces; theta-type Calderon-Zygmund operators; RBMO(mu) space; H-at(1; infinity); at; (mu); space; NON-DOUBLING MEASURES; NONHOMOGENEOUS SPACES; HARDY-SPACES; BMO;

D O I：

10.1007/s11464-015-0464-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d, A mu) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytonen. Under this assumption, we prove that theta-type Caldern-Zygmund operators which are bounded on L (2)(A mu) are also bounded from L (ae)(A mu) into RBMO(A mu) and from H (at) (1,a) (A mu) into L (1)(A mu).

引用

页码：141 / 153

页数：13

共 15 条

[1] [Anonymous], 1971, Lecture Notes in Mathematics
[2] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS
COIFMAN, RR
WEISS, G
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) : 569 - 645
[3] A remark on the boundedness of Calderon-Zygmund operators in non-homogeneous spaces
Fu, Xiao Li
Hu, Guo En
Yang, Da Chun
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (03) : 449 - 456
[4] Heinenon J, 2001, LECT ANAL METRIC SPA
[5] Boundedness of Calderon-Zygmund Operators on Non-homogeneous Metric Measure Spaces
Hytonen, Tuomas
Liu, Suile
Yang, Dachun
Yang, Dongyong
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2012, 64 (04): : 892 - 923
[6] The Hardy space H1 on non-homogeneous metric spaces
Hytonen, Tuomas
Yang, Dachun
Yang, Dongyong
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2012, 153 : 9 - 31
[7] A FRAMEWORK FOR NON-HOMOGENEOUS ANALYSIS ON METRIC SPACES, AND THE RBMO SPACE OF TOLSA
Hytonen, Tuomas
[J]. PUBLICACIONS MATEMATIQUES, 2010, 54 (02) : 485 - 504
[8] Spaces of type BLO on non-homogeneous metric measure
Lin, Haibo
Yang, Dachun
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (02) : 271 - 292
[9] Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations
Liu, Suile
Yang, Dachun
Yang, Dongyong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (01) : 258 - 272
[10] The Tb-theorem on non-homogeneous spaces
Nazarov, F
Treil, S
Volberg, A
[J]. ACTA MATHEMATICA, 2003, 190 (02) : 151 - 239

← 1 2 →