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