5 papers
Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and
Adam B. Christopherson, Zhenghui Huo, Nathan A. Wagner +1
We prove an $\LlogL $-type distributional inequality for the commutator of the Bergman projection with a conjugate Bloch symbol function on the unit ball. Such an inequality can be…
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…
Matrix Weighted Estimates in the Nonhomogeneous Setting
Fernando Benito-de la Cigoña, Tainara Borges, Francesco D'Emilio +2
We establish a modified pointwise convex body domination for vector-valued Haar shifts in the nonhomogeneous setting, strengthening and extending the scalar case developed in arXiv…
Endpoint estimates for Haar shift operators with balanced measures
José M. Conde Alonso, Nathan A. Wagner
We prove and endpoint inequalities for generic cancellative Haar shifts defined with respect to a possibly non-homogeneous Borel measure satisfyin…
Commutator estimates for Haar shifts with general measures
Tainara Borges, José M. Conde Alonso, Jill Pipher +1
We study estimates for the commutator , where the operator is a dyadic model of the classical Hilbert transform introduced in \cite{arXiv:2012.10201,arXiv:2212.…