Growth properties near the origin for generalized Riesz potentials
Growth properties near the origin for generalized Riesz potentials
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广义 Riesz 势原点附近的生长特性
DOI:
10.1016/j.jmaa.2017.04.068
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发表时间:
2017
期刊:
影响因子:
--
通讯作者:
Tetsu Shimomura and Yusuke Yamauchi
中科院分区:
文献类型:
--
作者:
Yoshihiro Mizuta;Takao Ohno;Tetsu Shimomura and Yusuke Yamauchi
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.