Geodesic
On Dyakonov type theorems for harmonic quasiregular mappings
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 289-296
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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.
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.
DOI : 10.21136/CMJ.2017.0562-15
Classification : 30C62, 30C80
Keywords: modulus of continuity; harmonic mapping; quasiregular mapping 
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Arsenović, Miloš; Pavlović, Miroslav. On Dyakonov type theorems for harmonic quasiregular mappings. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 289-296. doi: 10.21136/CMJ.2017.0562-15

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