Sharp constant problems for harmonic mappings

Shaolin Chen; Manzi Huang; Lei Jin; Qianyun Li

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arXiv · 2609.33159

Sharp constant problems for harmonic mappings

Shaolin Chen·Manzi Huang·Lei Jin·Qianyun Li

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Abstract

The primary objective of this paper is to investigate sharp constant problems in harmonic Hardy spaces. We first establish a sharp asymptotic constant for a Littlewood-Paley type inequality applicable to weak harmonic $(K, K_0)$-quasiregular mappings, where $K \geq 1$ and $K_0 \geq 0$. Subsequently, we derive sharp Hardy-Littlewood type constants for harmonic mappings.

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BibTeX RIS

Shaolin Chen, Manzi Huang, Lei Jin, Qianyun Li. 2026-09-27. Sharp constant problems for harmonic mappings. https://arxiv.org/abs/2609.33159

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