Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients

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info:eu-repo/semantics/closedAccess

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We show continuity in generalized Morrey spaces of sublinear integral operators generated by Caldern-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.

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WOS: 000316571800008

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Generalized Morrey spaces, Sublinear integrals, Calderon-Zygmund integrals and commutators, BMO, VMO, Elliptic equations, Dirichlet problem

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38

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3

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