arXiv:1504.02256 Abstract | arXiv Analytics

arXiv:1504.02256 [math.AP]Abstract References Reviews Resources

The Dirichlet problem in a class of generalized weighted spaces

Vagif S. Guliyev, Mehriban Omarova, Lubomira Softova

Published 2015-04-09Version 1

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.

Comments: 25 pages

Categories: math.AP

Subjects: 35J25, 35B40, 42B20, 42B35

Keywords: dirichlet problem, generalized weighted spaces, study global regularity, linear uniformly elliptic operators, sub-linear integral operators

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