paper

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

arXiv:0908.1421

Abstract

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}.

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