An Inequality Type Condition for Quasinearly Subharmonic Functions and Applications
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Publication:4645877
DOI10.1007/978-3-319-27842-1_25zbMATH Open1411.31008arXiv1509.05829OpenAlexW2205861560MaRDI QIDQ4645877
Author name not available (Why is that?)
Publication date: 11 January 2019
Published in: (Search for Journal in Brave)
Abstract: Generalizing older works of Domar and Armitage and Gardiner, we give an inequality for quasinearly subharmonic functions. As an application of this inequality, we improve Domar's, Rippon's and our previous results concerning the existence of the largest subharmonic minorant of a given function. Moreover, and as an another application, we give a sufficient condition for a separately quasinearly subharmonic function to be quasinearly subharmonic. Our result contains the previous results of Lelong, of Avanissian, of Arsove, of Armitage and Gardiner, and of ours.
Full work available at URL: https://arxiv.org/abs/1509.05829
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