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

Domination conditions for families of quasinearly subharmonic functions

Author(s): Juhani Riihentaus

Pp: 37-41 (5)

Doi: 10.2174/9789811498701121010005

* (Excluding Mailing and Handling)


Using our version of a mean value type inequality for quasinearly subharmonic functions, presented in the previous section, we give domination conditions for families of quasinearly subharmonic functions. Our results improve previous results of Domar, Rippon and ours, and thus also the original results of Sjöberg and Brelot.

Keywords: Subharmonic, quasinearly subharmonic, family of quasinearly subharmonic functions, domination conditions

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