Tag: quasinearly Subharmonic

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Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions: Advanced Study

After considering a variant of the generalized mean value inequality of quasi-nearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions. Koji´c has shown that in the plane case both the class of quasinearly subharmonic functions and the class of regularly oscillating functions are invariant under conformal mappings. We give partial generalizations of…
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August 22, 2020 0

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…
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February 24, 2020 0