15 papers
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…
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…
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…
An Theorem for One-Sided Calderón-Zygmund Operators
A. Walton Green, Ljupcho Petrov, Brett D. Wick
We present a proof of the one-sided theorem in dimension one, with a logarithmic loss. This theorem concerns one-sided Calderón-Zygmund operators (CZOs) whose kernels $K(x,y…
Optimal Sparse Bounds and Commutator Characterizations Without Doubling
Francesco D'Emilio, Yongxi Lin, Nathan A. Wagner +1
We examine dyadic paraproducts and commutators in the non-homogeneous setting, where the underlying Borel measure is not assumed to be doubling. We first establish a pointwise…
Multilinear Wavelet Compact T(1) Theorem
Anastasios Fragkos, A. Walton Green, Brett D. Wick
We prove a wavelet theorem for compactness of multilinear Calderón-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields…