Domination Conditions for Families of Quasinearly Subharmonic Functions

Abstract EN

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, modification of Domar's original argument, we extend their results both to the subharmonic and quasinearly subharmonic settings.