Subharmonicity of the modulus of quasiregular harmonic mappings

Details Subharmonicity of the modulus of quasiregular harmonic mappings Subharmonicity of the modulus of quasiregular harmonic mappings

2011-03-05

arxiv.org/abs/1103.1032v1

Mathematics

Functional Analysis

6 pages

Scientific paper

In this note we determine all numbers $q\in \mathbf R$ such that $|u|^q$ is a
subharmonic function, provided that $u$ is a $K-$quasiregular harmonic mappings
in an open subset $\Omega$ of the Euclidean space $\mathbf R^n$.

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