Weighted Hardy spaces on an interval and Poisson integrals associated with ultraspherical series

被引:0
|
作者
Miyachi, Akihiko [1 ]
机构
[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan
关键词
weighted Hardy space; Poisson integral; ultraspherical series;
D O I
10.1016/j.jfa.2006.06.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that certain maximal functions defined through the Poisson integrals associated with ultraspherical series characterize some weighted Hardy spaces on the finite interval. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:446 / 496
页数:51
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