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Growth properties near the origin for generalized Riesz potentials

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Abstract According to Riesz decomposition theorem, superharmonic functions on the punctured unit ball are represented as the sum of generalized potentials and harmonic functions. In this paper we study growth… Click to show full abstract

Abstract According to Riesz decomposition theorem, superharmonic functions on the punctured unit ball are represented as the sum of generalized potentials and harmonic functions. In this paper we study growth properties near the origin of spherical means for generalized Riesz potentials of functions belonging to central variable Morrey spaces. We also deal with monotone Sobolev functions.

Keywords: properties near; generalized riesz; riesz potentials; growth properties; near origin

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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