Quasi-regularity of harmonic maps based on Blaschke products

Authors

  • R. Elmarghani University of Belgrade, Faculty of Mathematics, Serbia Author

Keywords:

Quasiconformal maps, harmonic maps, quasiregular maps

Subjects:

30C99

Abstract

The purpose of this paper is to find conditions which guarantee quasiregularity of a harmonic map of the unit disk $D $ of the form$f(z)={Re}B_1(z)+i{Im}B_2(z) $, where $B_1, B_2$ are automorphisms of $D$.

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Published

2017-10-15