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Measurable Functions with a Given Set of Integrability Exponents

✍ Scribed by Alfonso Villani

Book ID: 120009458
Publisher: Mathematical Association of America
Year: 2011
Tongue: English
Weight: 177 KB
Volume: 118
Category: Article
ISSN: 0002-9890
DOI: 10.4169/amer.math.monthly.118.01.077

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## 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