Work

Singular Integrals associated with Reflection Groups on Euclidean Space

Year: 2024

Type: preprint

Abstract: In the field of harmonic analysis, geometric considerations are frequently crucial. Specially, group actions such as translations, dilations and rotations on Euclidean space are instrumental. The objective of this paper is to extend the study of singular integrals to include the effects of group reflections on Euclidean space, and to establish the T1 theorem for these singular integrals.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2405.07160

Authors: Han, Yongsheng, Li, Ji, Tan, Chaoqiang, Wang, Zipeng, Wu, Xinfeng

Institutions: Westlake University, Macquarie University, Shantou University, China University of Mining and Technology, China University of Mining and Technology - Beijing

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G3858876973, 微分算子的分数阶热半群及相关问题研究

OpenAlex ID: W4396913387

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Cited by: 1

Related to: 10