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Integrability of maximal functions for generalized Lebesgue spaces with variable exponent

✍ Scribed by Yoshihiro Mizuta; Takao Ohno; Tetsu Shimomura

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
131 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Our aim in this paper is to deal with integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Our exponent approaches 1 on some part of the domain, and hence the integrability depends on the shape of that part and the speed of the exponent approaching 1. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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