Multiplication Operators Between Iterated Logarithmic Lipschitz Spaces of a Tree

被引：5

作者：

Allen, Robert F. ^{[1
]}

Colonna, Flavia ^{[2
]}

Prudhom, Andrew ^{[3
]}

机构：

[1] Univ Wisconsin La Crosse, Dept Math & Stat, La Crosse, WI 54601 USA

[2] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA

[3] Univ North Carolina Chapel Hill, Dept Math, Chapel Hill, NC 27599 USA

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 05期

关键词：

Multiplication operators; trees; iterated logarithmic Lipschitz spaces;

D O I：

10.1007/s00009-017-1013-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we characterize the bounded and the compact multiplication operators between distinct iterated logarithmic Lipschitz spaces, and between the Lipschitz space and an iterated logarithmic Lipschitz space of an infinite tree. In addition, we provide operator norm estimates and show that there are no isometries among such operators.

引用

页数：10

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