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.
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页码：519 / 555
页数：37
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