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arXiv:1205.6709 [math.FA]AbstractReferencesReviewsResources

Boundedness of Commutators of Singular and Potential Operators in Generalized Grand Morrey Spaces and some applications

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro

Published 2012-05-30Version 1

In the setting of homogeneous spaces (X,d,{\mu}), it is shown that the commutator of Calder\'on- Zygmund type operators as well as commutator of potential operator with BMO function are bounded in generalized Grand Morrey space. Interior estimates for solutions of elliptic equations are also given in the framework of generalized grand Morrey spaces.

Comments: arXiv admin note: substantial text overlap with arXiv:1204.2208
Categories: math.FA
Subjects: 42B20, 42B25, 42B35
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