Morrey Spaces and Fractional Integral Operators
Functional Analysis
2008-06-17 v1
Abstract
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established. In the case when measure satisfies the doubling condition the derived conditions are simultaneously necessary and sufficient for appropriate inequalities.
Cite
@article{arxiv.0806.2391,
title = {Morrey Spaces and Fractional Integral Operators},
author = {Eridani and Vakhtang Kokilashvili and Alexander Meskhi},
journal= {arXiv preprint arXiv:0806.2391},
year = {2008}
}
Comments
13 pages