Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions

Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions
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满足 Orlicz 条件的函数的广义 Riesz 势的增长性质

DOI:
10.1002/mana.201800569
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发表时间:
2020
影响因子:
1
通讯作者:
Yamauchi Yusuke
Yamauchi Yusuke
中科院分区:
数学3区
文献类型:
--
作者:
Mizuta Yoshihiro;Ohno Takao;Shimomura Tetsu;Yamauchi Yusuke

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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.