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Sharp constant problems for harmonic mappings
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, K0)-quasiregular mappings, where K ≥ 1 and K0 ≥ 0. Subsequently, we derive sharp Hardy-Littlewood type constants for harmonic mappings.
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BibTeX
@misc{chen2026sharp,
title = {{Sharp constant problems for harmonic mappings}},
author = {Shaolin Chen and Manzi Huang and Lei Jin and Qianyun Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33159},
eprint = {2609.33159},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33159},
}
RIS
TY - UNPB
TI - Sharp constant problems for harmonic mappings
AU - Shaolin Chen
AU - Manzi Huang
AU - Lei Jin
AU - Qianyun Li
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33159
UR - https://arxiv.org/abs/2609.33159
AB - 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 ≥ 1 and K_0 ≥ 0. Subsequently, we derive sharp Hardy-Littlewood type constants for harmonic mappings.
ER -