Mean Lipschitz spaces and a generalized Hilbert operator

被引：10
|
作者：
Merchan, Noel [1 ]
机构：
[1] Univ Malaga, Fac Ciencias, Anal Matemat, E-29071 Malaga, Spain
来源：
COLLECTANEA MATHEMATICA | 2019年 / 70卷 / 01期
关键词：
Hankel matrix; Generalized Hilbert operator; Mean Lipschitz spaces; Carleson measures; 30H10; 47B35; ANALYTIC-FUNCTIONS; HARDY;
D O I：
10.1007/s13348-018-0217-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If is a positive Borel measure on the interval [0,1) we let H be the Hankel matrix H=(n,k)n,k0 with entries n,k=n+k, where, for n akzk, in the unit disc D. This is a natural generalization of the classical Hilbert operator. In this paper we study the action of the operators H on mean Lipschitz spaces of analytic functions.
引用
收藏
页码：59 / 69
页数：11
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