arXiv Analytics

Sign in

arXiv:2405.07160 [math.CA]AbstractReferencesReviewsResources

Singular Integrals associated with Reflection Groups on Euclidean Space

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

Published 2024-05-12Version 1

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.

Related articles: Most relevant | Search more
arXiv:2105.03587 [math.CA] (Published 2021-05-08)
Sparse dominations and weighted variation inequalities for singular integrals and commutators
arXiv:1203.6335 [math.CA] (Published 2012-03-28, updated 2015-04-09)
Endpoint estimates for commutators of singular integrals related to Schrödinger operators
arXiv:1601.06124 [math.CA] (Published 2015-12-15)
Criterion of the boundedness of singular integrals on spaces of homogeneous type