2 papers
math.CA2026
Dunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an application
Qingdong Guo
We characterize compactly supported functions in Dunkl--BMO spaces as those that can be written as \begin{equation*} f=g+\widetilde{S}_{μ,\mathcal{P}}, \end{equation*} the sum…
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…