Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions

Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura and Yusuke Yamauchi

Mathematische Nachrichten, 2020, vol. 293, issue 6, 1156-1173

Abstract: Riesz decomposition theorem says that superharmonic functions on the punctured unit ball are represented as the sum of generalized (Newtonian) potentials and harmonic functions. In this paper we study growth properties near the origin of spherical means for generalized Riesz potentials of functions satisfying Orlicz conditions in the punctured unit ball.

Date: 2020
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https://doi.org/10.1002/mana.201800569

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:6:p:1156-1173

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