On Dyakonov type theorems for harmonic quasiregular mappings
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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.
Keywordsmodulus of continuity harmonic mapping quasiregular mapping
MSC 201030C62 30C80
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