8 papers · 1 filter
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…
The Corona Problem for Slice Hyperholomorphic Functions
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
This paper addresses the Corona problem for slice hyperholomorphic functions for a single quaternionic variable. While the Corona problem is well-understood in the context of one c…
The Cauchy--Szegö Projection for domains in with minimal smoothness: weighted theory
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class . A 2017 result of Lanzani \& Stei…
The commutator of the Cauchy--SzegÅ Projection for domains in with minimal smoothness: weighted regularity
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class , and let denote the Cauchy…