The inner variation of an operator and the essential norms of pointwise multipliers in function spaces

被引：0

作者：

Edmunds, DE ^{[1
]}

Shargorodsky, E

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2005年 / 31卷 / 03期

关键词：

essential norm; pointwise multiplier; inner variation; measure of noncompactness; bounded compact approximation property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that useful estimates for the essential norm of pointwise multipliers acting on a function space may be easily obtained from certain functional-analytic facts related to the notions of inner variation and the measure of noncompactness. Applications to Besov and Lizorkin-Triebel spaces are given.

引用

页码：841 / 855

页数：15

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