English

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

Analysis of PDEs 2009-07-31 v1

Abstract

In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.

Keywords

Cite

@article{arxiv.0907.5353,
  title  = {Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures},
  author = {Osvaldo Gorosito and Gladis Pradolini and Oscar Salinas},
  journal= {arXiv preprint arXiv:0907.5353},
  year   = {2009}
}