Czechoslovak Mathematical Journal, Vol. 67, No. 2, pp. 289-296, 2017

On Dyakonov type theorems for harmonic quasiregular mappings

Miloš Arsenović, Miroslav Pavlović

Received October 20, 2015.  First published March 1, 2017.

Abstract:  We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.
Keywords:  modulus of continuity; harmonic mapping; quasiregular mapping
Classification MSC:  30C62, 30C80
DOI:  10.21136/CMJ.2017.0562-15

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Affiliations:   Miloš Arsenović, Miroslav Pavlović, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia, e-mail:,

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