A note on boundedness of operators in Grand Grand Morrey spaces
Functional Analysis
2014-02-04 v1
Abstract
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the corresponding boundedness in Morrey spaces. As a result of this application, we obtain the boundedness of the Hardy-Littlewood maximal operator and Calder\'on-Zygmund operators in the framework of grand grand Morrey spaces.
Keywords
Cite
@article{arxiv.1109.2550,
title = {A note on boundedness of operators in Grand Grand Morrey spaces},
author = {Humberto Rafeiro},
journal= {arXiv preprint arXiv:1109.2550},
year = {2014}
}
Comments
8 pages