6 papers · 1 filter
A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation
Yuying Chen, Yanchang Han, Yongsheng Han +2
We prove a Fefferman--Stein good- inequality for the Dunkl Poisson semigroup associated with a finite reflection group and a non-negative multiplicity function. For arbitrary co…
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…
Two-weight inequalities for the Dunkl--Poisson integrals
Qingdong Guo, Ji Li, Brett D. Wick +1
We prove an two-weight testing theorem for the Dunkl--Poisson semigroup. The difficulty is geometric. The Dunkl orbit distance has several reflected diagonals, so a single or…
Calderon-type commutators and chamber lifting in the Dunkl setting
Yongsheng Han, Ming-Yi Lee, Ji Li +2
Let be a finite reflection group, and let , , and denote its Dunkl operators, Laplacian, and measure, respectively. Write for th…
Haar bases for multi-parameter twisted structures
Ji Li, Chong-Wei Liang, Brett D. Wick +2
Motivated by the Cauchy--SzegÅ projections on a broad class of Siegel domains and the geometric quotient structures of nilpotent Lie groups observed by Nagel, Ricci, and Stein, we…
Endpoint boundedness of singular integrals: CMO space associated to Schrödinger operators
Xueting Han, Ji Li, Liangchuan Wu
Let be a Schrödinger operator acting on , where the nonnegative potential belongs to the reverse Hölder class for som…