Title

Stability Of Localized Integral Operators On Weighted L P Spaces

Keywords

Bessel potential; Bootstrap technique; Doubling measure; Infinite matrix; Integral operator; Muckenhoupt weight; Reverse Hlder inequality; Spectrum; Weighted function space; Wiener's lemma

Abstract

In this article, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Hlder regularity and decay off the diagonal. Our model example is the Bessel potential operator, >0. We show that if such a localized integral operator has stability on a weighted function space for some p[1, ) and Muckenhoupt A p -weight w, then it has stability on weighted function spaces and Muckenhoupt A p-weights w for all p [1, ). © 2012 Taylor and Francis Group, LLC.

Publication Date

1-1-2012

Publication Title

Numerical Functional Analysis and Optimization

Volume

33

Issue

7-9

Number of Pages

1166-1193

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/01630563.2012.684535

Socpus ID

84864715171 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84864715171

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