Anisotropic weak Hardy spaces and interpolation theorems

被引：10

作者：

Ding Yong ^{[1
,2
]}

Lan SenHua ^{[1
,3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Minist Educ, Key Lab Math & Complex Syst, Beijing 100875, Peoples R China

[3] Lishui Univ, Dept Math, Lishui 323000, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 09期

基金：

中国国家自然科学基金;

关键词：

anisotropic Hardy space; anisotropic weak Hardy space; atomic decomposition; interpolation; singular integral;

D O I：

10.1007/s11425-008-0009-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.

引用

页码：1690 / 1704

页数：15

共 50 条

[41] Spaces of stochastic processes, interpolation theorems
Aubakirov, T. U.
Nursultanov, E. D.
RUSSIAN MATHEMATICAL SURVEYS, 2006, 61 (06) : 1167 - 1169
[42] INTERPOLATION THEOREMS FOR THE SPACES LP,Q
OVCHINNIKOV, VI
MATHEMATICS OF THE USSR-SBORNIK, 1988, 136 (1-2): : 229 - 242
[43] SCALES OF ORLICH SPACES AND INTERPOLATION THEOREMS
RUTITSKII, JB
DOKLADY AKADEMII NAUK SSSR, 1963, 149 (01): : 32 - &
[44] Interpolation theorems for Lorentz martingale spaces
Ren, Y. B.
ACTA MATHEMATICA HUNGARICA, 2012, 134 (1-2) : 169 - 176
[45] Interpolation Theorems for Weighted Sobolev Spaces
Kussainova, Leili
Ospanova, Ademi
WORLD CONGRESS ON ENGINEERING, WCE 2015, VOL I, 2015, : 25 - +
[46] Capacitary Lorentz spaces and interpolation theorems
Ooi, Keng Hao
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2024,
[47] Interpolation theorems for Lorentz martingale spaces
Yanbo B. Ren
Acta Mathematica Hungarica, 2012, 134 : 169 - 176
[48] FOURIER TRANSFORM OF ANISOTROPIC HARDY SPACES
Bownik, Marcin
Wang, Li-An Daniel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (07) : 2299 - 2308
[49] Weighted variable anisotropic Hardy spaces
He, Yao
ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (06)
[50] Variable Anisotropic Hardy Spaces and Their Applications
Liu, Jun
Weisz, Ferenc
Yang, Dachun
Yuan, Wen
TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (05): : 1173 - 1216

← 1 2 3 4 5 →