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arxiv: 0908.1421 · v1 · submitted 2009-08-10 · 🧮 math.AP

Boundedness of the fractional maximal operator on variable exponent Lebesgue spaces: a short proof

classification 🧮 math.AP
keywords boundednessfractionalmaximaloperatorproofalternativeapproachcapone
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We give a simple proof of the boundedness of the fractional maximal operator providing in this way an alternative approach to the one given by C. Capone, D. Cruz Uribe and A. Fiorenza in \cite{CCUF}.

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