4 papers
Non-radial Dunkl multipliers at the -Sobolev threshold
Der-Chen Chang, Ji Li, Chaojie Wen +1
We prove a Hörmander multiplier theorem for the Dunkl transform associated with an arbitrary finite reflection group. Uniform bounds for the normalised dyadic p…
Chamber lifting and non-radial Dunkl multipliers
Der-Chen Chang, Ji Li, Chaojie Wen +1
We study non-radial Dunkl multipliers via chamber lifting. For an arbitrary finite reflection group , the chamber lifting records all reflected values of a function and conjugat…
Spectral projection operators of the Sub-Laplacian and Laguerre calculus on non-degenerate nilpotent Lie groups of step two
Qianqian Kang, Der-Chen Chang, Wei Wang
In this paper, we introduce the spectral projection operators on non-degenerate nilpotent Lie groups of step two, associated to the joint spectrum of s…
Optimal lifting of Levi-degenerate hypersurfaces and applications to the Cauchy--Szegö projection
Der-Chen Chang, Ji Li, Alessandro Ottazzi +1
We consider a family of Levi-degenerate finite type hypersurfaces in , where in general there is no group structure. We lift these domains to stratified Lie groups via…