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.
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页码：841 / 855
页数：15
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