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

Shaolin Chen

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

Complex Variables 2025-09-23 v1

Authors: Shaolin Chen

Abstract

The purpose of this paper is twofold. First, we establish several sharp Hardy-Littlewood type radial growth theorems for harmonic $(K,K')$ -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 $(K,K')$ -quasiregular mappings.

Keywords

harmonic quasiregular mappings Hardy-Littlewood growth theorems coefficient growth univalent mappings Das and Kaliraj conjecture

Cite

@article{arxiv.2509.17603,
  title  = {Growth type theorems of harmonic $(K,K')$-quasiregular mappings},
  author = {Shaolin Chen},
  journal= {arXiv preprint arXiv:2509.17603},
  year   = {2025}
}

Comments

21 pages

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