Integral Operators in Grand Morrey Spaces

Published 7 Jul 2010 in math.FA | (1007.1186v1)

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.

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Authors (1)

Alexander Meskhi

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