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Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions
Author(s) -
Mizuta Yoshihiro,
Ohno Takao,
Shimomura Tetsu,
Yamauchi Yusuke
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800569
Subject(s) - mathematics , subharmonic function , unit sphere , pure mathematics , mathematical analysis , m. riesz extension theorem , ball (mathematics) , harmonic function , harmonic , riesz representation theorem , physics , quantum mechanics
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.