Regularity results in grand variable exponent Morrey spaces and applications

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Abstract

The boundedness of commutators of Calderón–Zygmund operators in grand variable exponent Morrey spaces is established. The operators and spaces are defined on quasi-metric measure spaces with doubling measure. The obtained results are applied to study regularity properties of solutions of the second-order partial differential equations with discontinuous coefficients in the frame of grand variable exponent Morrey spaces.

Keywords

grand variable exponent Morrey spaces / commutators / Calderón–Zygmund operators / elliptic PDEs / regularity of solution

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