Hankel matrices acting on Dirichlet spaces

被引：33

作者：

Bao, Guanlong ^{[1
]}

Wulan, Hasi ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Hankel matrix; Hilbert operator; Dirichlet spaces; Carleson measure; CARLESON MEASURES; OPERATORS;

D O I：

10.1016/j.jmaa.2013.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a connection between the Hankel matrix acting on Dirichlet spaces D-alpha, 0 < alpha < 2, and the Carleson measure supported on (-1, 1). As an application, we prove that the generalized Hilbert operators H-beta are always bounded on Dirichlet spaces D-alpha for 0 < alpha < 2 and that the range (0, 2) of alpha in our results is the best possible. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：228 / 235

页数：8

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