A NEW CHARACTERIZATION OF REGULARIZED BMO SPACES ON NON-HOMOGENEOUS SPACES AND ITS APPLICATIONS

被引：8

作者：

Hu, Guoen

Meng, Yan ^{[1
]}

Yang, Dachun

机构：

[1] Zhengzhou Informat Sci & Technol Inst, Dept Appl Math, Zhengzhou 450002, Peoples R China

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 01期

基金：

中国国家自然科学基金;

关键词：

RBMO(mu); Calderon-Zygmund operator; upper doubling measure; geometrically doubling; metric measure space; CALDERON-ZYGMUND OPERATORS; THEOREM; INEQUALITIES; H-1;

D O I：

10.5186/aasfm.2013.3809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d, mu) be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. Under this assumption, in this paper, the authors establish a new characterization of the space RBMO(mu). As applications, the authors prove that the L-P(mu)-boundedness with p is an element of (1, infinity) of the Calderon-Zygmund operator is equivalent to its various endpoint estimates.

引用

页码：3 / 27

页数：25

共 50 条

[21] BMO Spaces on Weighted Homogeneous Trees
Arditti, Laura
Tabacco, Anita
Vallarino, Maria
JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (09) : 8832 - 8849
[22] BMO FUNCTIONS IN SPACES OF HOMOGENEOUS TYPE
龙瑞麟
杨乐
Science China Mathematics, 1984, (07) : 695 - 708
[23] Torsional wave propagation in non-homogeneous layer between non-homogeneous half-spaces
Chattopadhyay, A.
Gupta, S.
Kumari, Pato
Sharma, V. K.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2013, 37 (10) : 1280 - 1291
[24] A Complete Characterization of the Generalized Multilinear Sobolev Inequality in Grand Product Lebesgue Spaces Defined on Non-homogeneous Spaces
Vakhtang Kokilashvili
Alexander Meskhi
Results in Mathematics, 2023, 78
[25] Boundedness of commutators with Lipschitz functions in non-homogeneous spaces
Fu, Xiaoli
Meng, Yan
Yang, Dachun
CHINESE ANNALS OF MATHEMATICS SERIES B, 2007, 28 (01) : 67 - 80
[26] Boundedness of Commutators with Lipschitz Functions in Non-homogeneous Spaces
Xiaoli FU Yan MENG Dachun YANG School of Mathematical Sciences
School of Information
Chinese Annals of Mathematics, 2007, (01) : 67 - 80
[27] Estimates for maximal multilinear commutators on non-homogeneous spaces
Li, Liang
Jiang, Yin-sheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) : 243 - 257
[28] Multilinear commutators for fractional integrals in non-homogeneous spaces
Hu, GE
Meng, Y
Yang, DC
PUBLICACIONS MATEMATIQUES, 2004, 48 (02) : 335 - 367
[29] Marcinkiewicz Commutators with Lipschitz Functions in Non-homogeneous Spaces
Zhou, Jiang
Ma, Bolin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2012, 55 (03): : 646 - 662
[30] A Complete Characterization of the Generalized Multilinear Sobolev Inequality in Grand Product Lebesgue Spaces Defined on Non-homogeneous Spaces
Kokilashvili, Vakhtang
Meskhi, Alexander
RESULTS IN MATHEMATICS, 2023, 78 (05)

← 1 2 3 4 5 →