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On $L^p$ bounds for the Littlewood-Paley $g_α$ function with fractional poisson kernel

Year: 2026

Type: preprint

Abstract: Let $0<α\leq1$, and let $g_α$ be the Littlewood-Paley function associated with the fractional Poisson kernel, which reduces to the classical $g$-function when $α=1$. We establish dimension-free $L^p$ bounds for $g_α$ for every \(1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32387

Authors: Li, Hui, Lian, Ziyuan, Liu, Honghai, Si, Zengyan, Wang, Jie

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214780960

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