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Subharmonicity of the modulus of quasiregular harmonic mappings

Published 5 Mar 2011 in math.FA | (1103.1032v1)

Abstract: 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 $\mathbf Rn$.

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