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- W1569435041 abstract "First, 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 incudes, among others, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost subharmonic functions. We also give some basic properties of quasi-nearly subharmonic functions. Second, after recalling some of the existing subharmonicity results of separately subharmonic functions, we give the corresponding counterparts for separately quasi-nearly subharmonic functions, thus improving previous results of ours, of Lelong, of Avanissian and of Arsove. Third, we give two results concerning the subharmonicity of a function subharmonic with respect to the first variable and harmonic with respect to the second variable. The first result improves a result of Arsove, concerning the case when the function has, in addition, locally a negative integrable minorant. The second result improves a result of Kolodziej and Thorbiornson concerning the subharmonicity of a function subharmonic and ${mathcal{C}}^2$ in the first variable and harmonic in the second." @default.
- W1569435041 created "2016-06-24" @default.
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- W1569435041 date "2006-10-08" @default.
- W1569435041 modified "2023-09-27" @default.
- W1569435041 title "Separately subharmonic functions" @default.
- W1569435041 hasPublicationYear "2006" @default.
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