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arxiv: 1205.6709 · v1 · pith:VA745PF5new · submitted 2012-05-30 · 🧮 math.FA

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

classification 🧮 math.FA
keywords generalizedgrandmorreyspacescommutatoroperatorspotentialapplications
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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.

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