Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk.
For a -function on the unit ball we define the Bloch norm by where is the invariant derivative of and then show that
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.
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