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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Quasinearly Subharmonic Functions

Pp. 1-11 (11)

DOI: 10.2174/9789811498701121010002

Author(s): Juhani Riihentaus

Abstract

We give the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost subharmonic functions (essentially). Moreover, we give basic properties of quasinearly subharmonic functions, and, among others, we characterize quasinearly subharmonicity with the aid of quasihyperbolic metric.

Keywords:

Subharmonic, nearly subharmonic, quasinearly subharmonic, properties of quasinearly subharmonic functions, quasihyperbolic metric