On the Domination Conditions for Families of Quasinearly Subharmonic Functions
Domar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar’s argument gives in fact a better result. Using our previous, rather general and flexible modifications of Domar’s original argument, we extend their results both to the subharmonic and to the quasinearly subharmonic settings.
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FI-90014 Oulun Yliopisto, Finland and Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland.
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