Showing 2026Show all
3 papers · 1 filter
math.CV2026
The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
In this paper we prove the Corona theorem for slice hyperholomorphic functions in a general way that applies to functions with values in a Clifford algebra for any $n…
math.CA2026
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…
math.CA2026
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…