Change of variables for weighted Hardy spaces on a domain

被引：0
作者：
Miyachi, Akihiko [1 ]
机构：
[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2009年 / 38卷 / 03期
关键词：
weighted Hardy space; conformal mapping; HP SPACES;
D O I：
10.14492/hokmj/1258553975
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized version of weighted Hardy spaces on a Euclidean domain is introduced and it is proved that the spaces are transformed to the same kind of spaces by certain smooth change of variables. Some related properties of the spaces, including a modified form of atomic decomposition, and sonic examples are also given.
引用
收藏
页码：519 / 555
页数：37
相关论文
共 50 条
[21]   Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators [J].
Shen, Conghui ;
Lou, Zengjian ;
Li, Songxiao .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (04) :603-618
[22]   Multilinear singular and fractional integrals on weighted Hardy spaces [J].
ZHANG Pu1 LAN Jia-cheng2 1 Dept. of Math. .
Applied Mathematics:A Journal of Chinese Universities, 2009, (02) :214-220
[23]   A transplantation theorem for Jacobi series in weighted Hardy spaces [J].
Miyachi, A .
ADVANCES IN MATHEMATICS, 2004, 184 (01) :177-206
[24]   COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES [J].
Xu Lifang ;
Deng Fangwen .
ACTA MATHEMATICA SCIENTIA, 2011, 31 (01) :292-302
[25]   Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces [J].
Xian-liang Shi ;
Jie Sun .
Applied Mathematics-A Journal of Chinese Universities, 2015, 30 :253-262
[26]   Multilinear singular and fractional integrals on weighted Hardy spaces [J].
Pu Zhang ;
Jia-cheng Lan .
Applied Mathematics-A Journal of Chinese Universities, 2009, 24 :214-220
[27]   Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces [J].
Shi Xian-liang ;
Sun Jie .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2015, 30 (03) :253-262
[28]   On the Expansive Property of Inner Functions in Weighted Hardy Spaces [J].
Ball, Joseph A. ;
Bolotnikov, Vladimir .
COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS VI, PT 2: COMPLEX ANALYSIS, QUASICONFORMAL MAPPINGS, COMPLEX DYNAMICS, 2016, 667 :47-61
[29]   COMPLEX SYMMETRIC COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES [J].
Narayan, Sivaram K. ;
Sievewright, Daniel ;
Tjani, Maria .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (05) :2117-2127
[30]   Bounded Composition Operators on General Weighted Hardy Spaces [J].
Tan, Pin Lin ;
Khoi, Le Hai .
COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (05)
12345