Multiplication Operators Between the Lipschitz Space and the Space of Bounded Functions on a Tree

被引：17
作者：
Colonna, Flavia [1 ]
Easley, Glenn [2 ]
机构：
[1] George Mason Univ, Fairfax, VA 22030 USA
[2] Syst Planning Corp, Arlington, VA USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 03期
关键词：
Multiplication operators; trees; Lipschitz space; WEIGHTED COMPOSITION OPERATORS; ALPHA-BLOCH SPACES; H-INFINITY; NORM;
D O I：
10.1007/s00009-011-0131-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the bounded and the compact multiplication operators between the space of bounded functions on the set of vertices of a rooted infinite tree T and the Banach space of complex-valued Lipschitz functions on T. We also determine the operator norm and the essential norm for the bounded multiplication operators between these spaces and show that there are no isometries among such operators.
引用
收藏
页码：423 / 438
页数：16
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