Francesco D'Emilio

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math.CA2026

Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms

Francesco D'Emilio, Brett D. Wick

We develop a martingale-transform framework for Dunkl harmonic analysis and apply it to prove $L^{p}$ estimates for the Dunkl Riesz transforms using the martingale decomposition of t…

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…

Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms

Optimal Sparse Bounds and Commutator Characterizations Without Doubling

Matrix Weighted Lp Estimates in the Nonhomogeneous Setting

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