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arXiv · 1102.1136

Domination conditions for families of quasinearly subharmonic functions

Juhani Riihentaus
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Abstract

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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Juhani Riihentaus. 2011-06-20. Domination conditions for families of quasinearly subharmonic functions. https://doi.org/10.1155/2011%2F729849

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