Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Chen, Shaolin, Huang, Manzi, Jin, Lei, Li, Qianyun
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G4677290697, G777271538, G8906152895
OpenAlex ID: W7214761380