Quasi-Nearly Subharmonic Functions and Quasiconformal Mappings |
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| Authors: | Pekka Koskela Vesna Manojlovi? |
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| Institution: | 1. Department of Mathematics and Statistics, University of Jyv?skyl?, P.O. Box 35, 40014, Jyv?skyl?, Finland
2. Faculty of Organizational Sciences, University of Belgrade, Jove Ilica 154, Belgrade, Serbia
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| Abstract: | We prove that the composition of a quasi-nearly subharmonic function and a quasiregular mapping of bounded multiplicity is quasi-nearly subharmonic. Also, we prove that if u?°?f is quasi-nearly subharmonic for all quasi-nearly subharmonic u and f satisfying some additional conditions, then f is quasiconformal. Similar results are further established for the class of regularly oscillating functions. |
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