Wiener's lemma for singular integral operators of Bessel potential type

被引：7

作者：

Fang, Qiquan ^{[1
]}

Shin, Chang Eon ^{[2
]}

Sun, Qiyu ^{[3
]}

机构：

[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Zhejiang, Peoples R China

[2] Sogang Univ, Dept Math, Seoul 121742, South Korea

[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 173卷 / 01期

基金：

新加坡国家研究基金会; 美国国家科学基金会;

关键词：

Wiener's lemma; Bessel potential; Integral operator; Spectra; Banach algebra; Muckenhoupt weight; INVERSE-CLOSEDNESS; STABILITY; ALGEBRA;

D O I：

10.1007/s00605-013-0575-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce an algebra of singular integral operators containing Bessel potentials of positive order, and show that the corresponding unital Banach algebra is an inverse-closed Banach subalgebra of B(L-w(q)), the Banach algebra of all bounded operators on the weighted space L-w(q), for all 1 <= q < infinity and Muckenhoupt A(q)-weights w.

引用

页码：35 / 54

页数：20

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