On the Domination Conditions for Families of Quasinearly Subharmonic Functions | Chapter 09 | Theory and Applications of Mathematical Science Vol. 2
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.
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