ABSTRACT HARDY SPACES

被引：0

作者：

Liu, Yin ^{[1
,2
]}

机构：

[1] Nanyang Normal Univ, Sch Math & Stat, Zhengzhou 473061, Henan, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2022年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hardy spaces; atomic decomposition; molecular decomposition; MAXIMAL-FUNCTION CHARACTERIZATIONS; LIPSCHITZ-DOMAINS; L-P; OPERATORS; DECOMPOSITION;

D O I：

10.7153/mia-2022-25-30

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the abstract Hardy spaces on spaces of homogeneous X. Firstly, we give the definitions of the atomic Hardy spaces H-ato(p) and the molecular Hardy spaces H-epsilon,mol(p)(0 < p < 1). Secondly, we give out the comparison between our Hardy spaces with some other Hardy spaces. Finally, we prove the continuity theorem of the sublinear operator on the Hardy spaces and give an example.

引用

页码：477 / 493

页数：17

共 50 条

[41] THE HARDY-SPACES
不详
[J]. LECTURE NOTES IN MATHEMATICS, 1989, 1381 : 85 - 102
[42] SPACES OF HARDY TYPE
SEMENOV, EM
[J]. LECTURE NOTES IN MATHEMATICS, 1984, 1043 : 22 - 23
[43] Hardy Spaces on the Polydisk
Shrestha, Khim R.
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 9 (03): : 292 - 304
[44] On the Weighted Hardy Spaces
Jahedi, K.
Yousefi, B.
[J]. JOURNAL OF MATHEMATICAL EXTENSION, 2006, 1 (01) : 45 - 55
[45] Generalized Hardy spaces
Almeida, Alexandre
Caetano, Antonio M.
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (09) : 1673 - 1692
[46] θ-summation and Hardy spaces
Weisz, F
[J]. JOURNAL OF APPROXIMATION THEORY, 2000, 107 (01) : 121 - 142
[47] Hardy spaces on ZN
Boza, S
Carro, MJ
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 25 - 43
[48] Discrete Hardy spaces
Boza, S
Carro, MJ
[J]. STUDIA MATHEMATICA, 1998, 129 (01) : 31 - 50
[49] Generalized Hardy Spaces
Alexandre ALMEIDA
António M.CAETANO
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (09) : 1673 - 1692
[50] Introduction to Hardy Spaces
H. Baumgärtel
[J]. International Journal of Theoretical Physics, 2003, 42 : 2213 - 2223

← 1 2 3 4 5 →