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On the Cegrell Classes Associated to a Positive Closed Current

On the Cegrell Classes Associated to a Positive Closed Current
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摘要 The aim of this paper is to study the operatoron■ on some classes of plurisubharmonic (psh) functions, which are not necessary bounded, where T is a positive closed current of bidimension (q, q) on an open set ? of C^n. The author introduces two classes F_p^T (?) and■ and shows first that they belong to the domain of definition of the operator■. Then the author proves that all functions that belong to these classes are C_T-quasi-continuous and that the comparison principle is valid for them. The aim of this paper is to study the operator■on some classes of plurisubharmonic(psh) functions, which are not necessary bounded, where T is a positive closed current of bidimension(q, q) on an open set ? of C^n. The author introduces two classes F_p^T (?) and■ and shows first that they belong to the domain of definition of the operator■. Then the author proves that all functions that belong to these classes are C_T-quasi-continuous and that the comparison principle is valid for them.
作者 Mohamed ZAWAY
机构地区 Department of Mathematics Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2019年第4期567-584,共18页 数学年刊（B辑英文版）
关键词 POSITIVE CLOSED CURRENT Plurisubharmonic function Capacity Monge-Ampère OPERATOR Positive closed current Plurisubharmonic function Capacity Monge-Ampère Operator
分类号 O177 [理学—基础数学]
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Chinese Annals of Mathematics,Series B
2019年 第4期

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