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Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball

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ABSTRACT We introduce central generalized Orlicz–Morrey spaces on the unit ball, and study the weighted behavior of spherical means for Riesz potentials of functions in those spaces. We also treat… Click to show full abstract

ABSTRACT We introduce central generalized Orlicz–Morrey spaces on the unit ball, and study the weighted behavior of spherical means for Riesz potentials of functions in those spaces. We also treat Orlicz–Morrey–Sobolev functions which are monotone in the punctured unit ball in the sense of Lebesgue.

Keywords: orlicz morrey; central generalized; unit ball; generalized orlicz

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019

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