On separately subharmonic and harmonic functions
Juhani Riihentaus
TL;DR
This paper advances the understanding of functions that are subharmonic in one variable and harmonic in another, by refining existing generalizations of key results in potential theory.
Contribution
It provides improved generalizations of previous theorems regarding the subharmonicity and harmonicity of functions in multiple variables.
Findings
Enhanced conditions for subharmonicity in multivariable functions
Broader applicability of subharmonic and harmonic function relations
Refined theoretical framework for potential theory functions
Abstract
We improve our previous generalizations to Arsove's and Ko\lodziej's and Thorbi\"ornson's results concerning the subharmonicity of a function subharmonic with respect to the first variable and harmonic with respect to the second.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra