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arxiv: 1007.1186 · v1 · submitted 2010-07-07 · 🧮 math.FA

Integral Operators in Grand Morrey Spaces

classification 🧮 math.FA
keywords spacesgrandmorreyoperatorsmeasureboundednesscaldercase
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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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