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arXiv · 2509.17603

Growth type theorems of harmonic $(K,K_{0})$-quasiregular mappings

Shaolin Chen
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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.

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Shaolin Chen. 2025-09-22. Growth type theorems of harmonic $(K,K_{0})$-quasiregular mappings. https://arxiv.org/abs/2509.17603

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