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• W2000258641 abstract "Abstract We give the definition for quasi-nearly subharmonic functions, now for general, not necessarily nonnegative functions, unlike previously. We point out that our function class includes, among others, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost subharmonic functions (essentially). In addition to the basic properties of quasi-nearly subharmonic functions, we list certain weighted boundary behavior properties, and a counterpart to Armitage’s and Gardiner’s result concerning the subharmonicity of a separately subharmonic function. We slightly sharpen our previous improvement to Armitage’s and Gardiner’s result, too. In addition, we recall our recent improvements to Kolodziej’s and Thorbiornson’s result concerning the subharmonicity of a function subharmonic with respect to the first variable and harmonic with respect to the second." @default.
• W2000258641 created "2016-06-24" @default.
• W2000258641 creator A5089198506 @default.
• W2000258641 date "2009-12-01" @default.
• W2000258641 modified "2023-09-27" @default.
• W2000258641 title "Subharmonic functions, generalizations, weighted boundary behavior, and separately subharmonic functions: A survey" @default.
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• W2000258641 doi "https://doi.org/10.1016/j.na.2009.05.077" @default.
• W2000258641 hasPublicationYear "2009" @default.
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