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

  • Fang, Qiquan
  • Shin, Chang Eon
  • Sun, Qiyu
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초록

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.

키워드

Wiener's lemmaBessel potentialIntegral operatorSpectraBanach algebraMuckenhoupt weightINVERSE-CLOSEDNESSSTABILITYALGEBRA
제목
Wiener's lemma for singular integral operators of Bessel potential type
저자
Fang, QiquanShin, Chang EonSun, Qiyu
DOI
10.1007/s00605-013-0575-1
발행일
2014-01
유형
Article
저널명
Monatshefte für Mathematik
173
1
페이지
35 ~ 54