Growth type theorems of harmonic $(K,K_0)$-quasiregular mappings

Abstract

The purpose of this paper is twofold. First, we establish several sharp Hardy-Littlewood type radial growth theorems for harmonic $(K,K^{\prime })$-quasiregular mappings. Second, we prove some sharp coefficient growth theorems for such mappings. In particular, we affirm Das and Kaliraj's conjecture in the case of univalent harmonic $(K,K^{\prime })$-quasiregular mappings.

24 pages, Acta Mathematica Scientia, (to appear)