| Authors: | Todorčević, Vesna Pavlović, Miroslav |
Title: | Subharmonicity of | f |p for quasiregular harmonic functions, with applications | Journal: | Journal of Mathematical Analysis and Applications | Volume: | 342 | Issue: | 1 | First page: | 742 | Last page: | 746 | Issue Date: | 1-Jun-2008 | Rank: | M21 | ISSN: | 0022-247X | DOI: | 10.1016/j.jmaa.2007.12.003 | Abstract: | We prove that if f is a quasiregular harmonic function, then there exists a number q ∈ (0, 1) such that | f |q is subharmonic, and use this fact to generalize a result of Rubel, Shields, and Taylor, and Tamrazov, on the moduli of continuity of holomorphic functions. |
Keywords: | Moduli of continuity | Quasiregular functions | Subharmonic functions | Publisher: | Elsevier | Project: | MN Project 144010, Serbia |
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