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arXiv:0905.0712 [math.CV]AbstractReferencesReviewsResources

Separately Subharmonic and Harmonic Functions are Subharmonic

Mansour Kalantar

Published 2009-05-06, updated 2009-06-09Version 4

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.

Comments: The paper has been withdrawn, because of an error
Categories: math.CV
Subjects: 31B05, 54C30
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