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arXiv · 0906.1679

Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions

Guoshuang Pan
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Abstract

There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a class of subharmonic functions in the half plane; growth estimates for a class of subharmonic functions in the half space; a generalization of harmonic majorants; properties of limit for Poisson integral; a lower bound for a class of harmonic functions in the half space; the Carleman formula of subharmonic functions in the half space; a generalization of the Nevanlinna formula for analytic functions in the right half plane; integral representations of harmonic functions in the half plane; integral representations of harmonic functions in the half space.

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Guoshuang Pan. 2009-06-09. Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions. https://arxiv.org/abs/0906.1679

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