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The maximal operator in Lebesgue spaces with variable exponent near 1

✍ Scribed by Peter A. Hästö

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
142 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This article contains results about the boundedness of the Hardy–Littlewood maximal operator in variable exponent Lebesgue spaces. We study the situation where the exponent approaches one in some parts of the domain. We show that the boundedness depends on how fast the exponent approaches one and give nearoptimal bounds for necessary and sufficient growths. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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