Chapter 5

On the subharmonicity of separately subharmonic functions and generalizations

Juhani Riihentaus


With the aid of our new version of a mean value type inequality, we improve our previous result of the subharmonicity of separately subharmonic functions, and thus also the well-known related earlier results of Armitage and Gardiner and ours. Moreover, we give refinements, with concise proofs, to the basic classical results of Avanissian, of Lelong, and of Arsove.

Total Pages: 42-55 (14)

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.An Introduction to Sobolev Spaces.
.Exterior Calculus: Theory and Cases.
.Trefftz and Fundamental Solution-Based Finite Element Methods.
.The Generalized Relative Gol’dberg Order and Type: Some Remarks on Functions of Complex Variables.