Work

Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold

Year: 2026

Type: preprint

Abstract: We prove a Hörmander multiplier theorem for the Dunkl transform associated with an arbitrary finite reflection group. Uniform $H^σ(\mathbb{R}^N)$ bounds for the normalised dyadic pieces of a measurable symbol, with $σ>\mathbf N/2$ and $\mathbf N$ the homogeneous dimension, imply $L^p(dω)$ boundedness for $1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14298

Authors: Chang, Der-Chen, Li, Ji, Wen, Chaojie, Wu, Liangchuan

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Australian Research Council

Awards: G184354734, Intrinsic structures in partial differential equations

OpenAlex ID: W7213290730

Cites: 3

Cited by: 2

Related to: 10