Separately Subharmonic and Harmonic Functions are Subharmonic

Mansour Kalantar

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arXiv · 0905.0712

Separately Subharmonic and Harmonic Functions are Subharmonic

Mansour Kalantar

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Abstract

We will prove that a function u(x,y) defined on a domain of RpxRq that is subharmonic in one variable and harmonic in the other is (jointly) subharmonic. This solves a long-standing open problem.

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Mansour Kalantar. 2009-06-09. Separately Subharmonic and Harmonic Functions are Subharmonic. https://arxiv.org/abs/0905.0712

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