Weighted extrapolation in generalized grand Morrey spaces is investigated. The ob- tained results are applied to derive one-weight estimates for some operators of Harmonic Analysis and to study regularity properties of solutions of second order partial differential equations with discontinuous coefficients in the frame of generalized grand Morrey spaces under the Muckenhoupt condition on weights.

ON SOME EXTRAPOLATION IN GENERALIZED GRAND MORREY SPACES AND APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS

MARIA ALESSANDRA RAGUSA
2022-01-01

Abstract

Weighted extrapolation in generalized grand Morrey spaces is investigated. The ob- tained results are applied to derive one-weight estimates for some operators of Harmonic Analysis and to study regularity properties of solutions of second order partial differential equations with discontinuous coefficients in the frame of generalized grand Morrey spaces under the Muckenhoupt condition on weights.
2022
Weighted extrapolation; Weighted classical and grand Morrey spaces; Singular integrals, Commutators, Elliptic P DEs, Regularity of solution.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/556222
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