Nathan A. Wagner

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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.CA2023

Balanced measures, sparse domination and complexity-dependent weight classes

José M. Conde-Alonso, Jill Pipher, Nathan A. Wagner

We study sparse domination for operators defined with respect to an atomic filtration on a space equipped with a general measure $μ$ . In the case of Haar shifts, $L^{p}$ -boundedness…

Matrix Weighted Lp Estimates in the Nonhomogeneous Setting

Endpoint estimates for Haar shift operators with balanced measures

Balanced measures, sparse domination and complexity-dependent weight classes

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