Real and imaginary parts of a harmonic quasiregular mapping on the unit disk belong to the same Bergman space a^p for every p>0, and univalent harmonic maps lie in a^p for p<1/α.
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On harmonic quasiregular mappings in Bergman spaces
Real and imaginary parts of a harmonic quasiregular mapping on the unit disk belong to the same Bergman space a^p for every p>0, and univalent harmonic maps lie in a^p for p<1/α.