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
[31]   Multilinear singular and fractional integrals on weighted Hardy spaces [J].
Zhang Pu ;
Lan Jia-cheng .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) :214-220
[32]   Bounded Composition Operators on General Weighted Hardy Spaces [J].
Pin Lin Tan ;
Le Hai Khoi .
Complex Analysis and Operator Theory, 2020, 14
[33]   Boundedness of parammetric Marcinkiewicz integrals on weighted Hardy spaces [J].
SHI Xian-liang ;
SUN Jie .
Applied Mathematics:A Journal of Chinese Universities, 2015, (03) :253-262
[34]   COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES [J].
徐丽芳 ;
邓方文 .
ActaMathematicaScientia, 2011, 31 (01) :292-302
[35]   Sharp Norm Estimates for the Bergman Operator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces [J].
Cascante, Carme ;
Fabrega, Joan ;
Ortega, Joaquin M. .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2016, 68 (06) :1257-1284
[36]   Weighted anisotropic product Hardy spaces and boundedness of sublinear operators [J].
Bownik, Marcin ;
Li, Baode ;
Yang, Dachun ;
Zhou, Yuan .
MATHEMATISCHE NACHRICHTEN, 2010, 283 (03) :392-442
[37]   Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces [J].
Katherine C. Heller ;
Matthew A. Pons .
Mediterranean Journal of Mathematics, 2018, 15
[38]   Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces [J].
Heller, Katherine C. ;
Pons, Matthew A. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (01)
[39]   Extended Spectra for Some Composition Operators on Weighted Hardy Spaces [J].
Bensaid, I. F. Z. ;
Leon-Saavedra, F. ;
de la Rosa, P. Romero .
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2022, 56 (02) :81-85
[40]   Variation Operators On Weighted Hardy and BMO Spaces in the Schrodinger Setting [J].
Zhang, Qian ;
Tang, Lin .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) :2285-2312
12345