Domination conditions for families of quasinearly subharmonic functions

Details Domination conditions for families of quasinearly subharmonic functions Domination conditions for families of quasinearly subharmonic functions

2011-02-06

arxiv.org/abs/1102.1136v2

International Journal of Mathematics and Mathematical Sciences, vol. 2011, Article ID 729849, 9 pages, 2011

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

10.1155/2011/729849

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.

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