We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.

The Dirichlet problem in a class of generalized weighted spaces (submited)

SOFTOVA PALAGACHEVA, Lyoubomira
2016

Abstract

We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11591/163207
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