Weighted estimates of a measure of noncompactness for maximal and potential operators

被引：0

作者：

Asif, Muhammad ^{[2
]}

Meskhi, Alexander ^{[1
]}

机构：

[1] Georgian Acad Sci, A Razmadze Math Inst, GE-0193 Tbilisi, Georgia

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54660, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2008年 / 2008卷 / 1期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1155/2008/697407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A measure of noncompactness (essential norm) for maximal functions and potential operators defined on homogeneous groups is estimated in terms of weights. Similar problem for partial sums of the Fourier series is studied. In some cases, we conclude that there is no weight pair for which these operators acting between two weighted Lebesgue spaces are compact. Copyright (C) 2008 M. Asif and A. Meskhi.

引用

页数：19

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