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

    Authors

    Q. Q. Fang; C. E. Shin;Q. Y. Sun

    Comments

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    Abbreviated Journal Title

    Mon.heft. Math.

    Keywords

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

    Abstract

    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.

    Journal Title

    Monatshefte Fur Mathematik

    Volume

    173

    Issue/Number

    1

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    35

    Last Page

    54

    WOS Identifier

    WOS:000329835200002

    ISSN

    0026-9255

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