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

[11] Weighted Morrey spaces on non-homogeneous metric measure spaces
Yan, Yu
Chen, Jie
Lin, Haibo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (01) : 335 - 350
[12] NEW LOCAL T 1 THEOREMS ON NON-HOMOGENEOUS SPACES
Villarroya, Paco
PUBLICACIONS MATEMATIQUES, 2024, 68 (02) : 445 - 506
[13] Vector valued commutators on non-homogeneous spaces
Chen, Wengu
Miao, Changxing
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (04): : 1127 - 1141
[14] The Tb-theorem on non-homogeneous spaces
Nazarov, F
Treil, S
Volberg, A
ACTA MATHEMATICA, 2003, 190 (02) : 151 - 239
[15] New Molecular Characterization of Musielak-Orlicz Hardy Spaces on Spaces of Homogeneous Type and Its Applications
Xianjie YAN
Dachun YANG
Chinese Annals of Mathematics,Series B, 2025, (02) : 201 - 232
[16] New Molecular Characterization of Musielak-Orlicz Hardy Spaces on Spaces of Homogeneous Type and Its Applications
Yan, Xianjie
Yang, Dachun
CHINESE ANNALS OF MATHEMATICS SERIES B, 2025, 46 (02) : 201 - 232
[17] Development of electromagnetic theory for non-homogeneous spaces
Liebowitz, B
PHYSICAL REVIEW, 1943, 64 (9/10): : 294 - 301
[18] Bilinear forms on non-homogeneous Sobolev spaces
Cascante, Carme
Ortega, Joaquin M.
FORUM MATHEMATICUM, 2020, 32 (04) : 995 - 1026
[19] BMO FUNCTIONS IN SPACES OF HOMOGENEOUS TYPE
LONG, RL
YANG, L
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1984, 27 (07): : 695 - 708
[20] BMO Spaces on Weighted Homogeneous Trees
Laura Arditti
Anita Tabacco
Maria Vallarino
The Journal of Geometric Analysis, 2021, 31 : 8832 - 8849

← 1 2 3 4 5 →