Integral Operators in Grand Morrey Spaces
Functional Analysis
2010-07-08 v1
Abstract
We introduce grand Morrey spaces and establish the boundedness of Hardy--Littlewood maximal, Calder\'on--Zygmund and potential operators in these spaces. In our case the operators and grand Morrey spaces are defined on quasi-metric measure spaces with doubling measure. The results are new even for Euclidean spaces.
Cite
@article{arxiv.1007.1186,
title = {Integral Operators in Grand Morrey Spaces},
author = {Alexander Meskhi},
journal= {arXiv preprint arXiv:1007.1186},
year = {2010}
}
Comments
20 pages