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

页码：59 / 69

页数：11

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