English

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

Analysis of PDEs 2009-08-12 v1

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}.

Keywords

Cite

@article{arxiv.0908.1421,
  title  = {Boundedness of the fractional maximal operator on variable exponent Lebesgue spaces: a short proof},
  author = {Osvaldo Gorosito and Gladis Pradolini and Oscar Salinas},
  journal= {arXiv preprint arXiv:0908.1421},
  year   = {2009}
}