Integral Operators in Grand Morrey Spaces

Details Integral Operators in Grand Morrey Spaces Integral Operators in Grand Morrey Spaces

2010-07-07

arxiv.org/abs/1007.1186v1

Mathematics

Functional Analysis

20 pages

Scientific paper

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.

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