Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.

Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.

This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic ...
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On the subharmonicity of separately subharmonic functions and generalizations

Pp. 42-55 (14)

DOI: 10.2174/9789811498701121010006

Author(s): Juhani Riihentaus

Abstract

With the aid of our new version of a mean value type inequality, we improve our previous result of the subharmonicity of separately subharmonic functions, and thus also the well-known related earlier results of Armitage and Gardiner and ours. Moreover, we give refinements, with concise proofs, to the basic classical results of Avanissian, of Lelong, and of Arsove.

Keywords:

Subharmonic, quasinearly subharmonic, separately quasinearly subharmonic function