We show continuity in generalized Morrey spaces of sublinear integral operators generated by Calderòn-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators.
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
SOFTOVA Lyoubomira
2013
Abstract
We show continuity in generalized Morrey spaces of sublinear integral operators generated by Calderòn-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators.File in questo prodotto:
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