On separately subharmonic functions (Lelong’s problem)
نویسندگان
چکیده
منابع مشابه
Separately subharmonic functions and quasi-nearly subharmonic functions
First, we give the definition for quasi-nearly subharmonic functions. Second, after recalling the existing subharmonicity results of separately subharmonic functions, we give corresponding counterparts for separately quasi-nearly subharmonic functions, thus generalizing previous results of Armitage and Gardiner, of ours, of Arsove, of Avanissian, and of Lelong.
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Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, Avanissian, Arsove, and of us, Armitage and Gardiner gave an almost sharp integrability condition which ensures a separately subharmonic function to be subharmonic. Completing now our recent counterparts to the cited results of Lelong, Avanissian and Arsove for so-called qu...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2011
ISSN: 0240-2963
DOI: 10.5802/afst.1311