Odd asymmetric factorization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces

The main goal of this paper is to obtain an invertibility criterion for Wiener-Hopf plus Hankel operators acting between variable exponent Lebesgue spaces on the real line. This is obtained by a so-called odd asymmetric factorization which is applied to the Fourier symbols of the operators under stu...

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Bibliographic Details
Main Author: Castro, L. P. (author)
Other Authors: Silva, A. S. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/16735
Country:Portugal
Oai:oai:ria.ua.pt:10773/16735
Description
Summary:The main goal of this paper is to obtain an invertibility criterion for Wiener-Hopf plus Hankel operators acting between variable exponent Lebesgue spaces on the real line. This is obtained by a so-called odd asymmetric factorization which is applied to the Fourier symbols of the operators under study.