Nathan A. Wagner

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20242026

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4 papers · 1 filter

math.CA2025

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 $μ$ is not assumed to be doubling. We first establish a pointwise…

math.CA2025

Matrix Weighted $L^{p}$ 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…

math.CA2024

Endpoint estimates for Haar shift operators with balanced measures

José M. Conde Alonso, Nathan A. Wagner

We prove $H^{1}$ and $BMO$ endpoint inequalities for generic cancellative Haar shifts defined with respect to a possibly non-homogeneous Borel measure $μ$ satisfyin…

math.CA2024

Commutator estimates for Haar shifts with general measures

Tainara Borges, José M. Conde Alonso, Jill Pipher +1

We study $L^{p} (μ)$ estimates for the commutator $[H, b]$ , where the operator $H$ is a dyadic model of the classical Hilbert transform introduced in \cite{arXiv:2012.10201,arXiv:2212.…

Optimal Sparse Bounds and Commutator Characterizations Without Doubling

Matrix Weighted Lp Estimates in the Nonhomogeneous Setting

Endpoint estimates for Haar shift operators with balanced measures

Commutator estimates for Haar shifts with general measures

Matrix Weighted $L^{p}$ Estimates in the Nonhomogeneous Setting