Title

STABILITY OF LOCALIZED INTEGRAL OPERATORS ON WEIGHTED L-p SPACES

Authors

Authors

K. S. Rim; C. E. Shin;Q. Y. Sun

Comments

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Abbreviated Journal Title

Numer. Funct. Anal. Optim.

Keywords

Bessel potential; Bootstrap technique; Doubling measure; Infinite; matrix; Integral operator; Muckenhoupt weight; Reverse Holder; inequality; Spectrum; Wiener's lemma; Weighted function space; BANACH ALGEBRA; WIENERS LEMMA; SPECTRUM; Mathematics, Applied

Abstract

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

Journal Title

Numerical Functional Analysis and Optimization

Volume

33

Issue/Number

7-9

Publication Date

1-1-2012

Document Type

Article

DOI Link

http://dx.doi.org/10.1080/01630563.2012.684535

Language

English

First Page

1166

Last Page

1193

WOS Identifier

WOS:000307080400021

ISSN

0163-0563

Recommended Citation

"STABILITY OF LOCALIZED INTEGRAL OPERATORS ON WEIGHTED L-p SPACES" (2012). Faculty Bibliography 2010s. 3194.
https://stars.library.ucf.edu/facultybib2010/3194