4 papers
Predictable subordination, sharp martingale inequalities and applications
Francesco D'Emilio
We introduce a new method for obtaining sharp estimates for martingales under predictable analogues of differential subordination. By allowing suitable comparisons between co…
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 estimates for the Dunkl Riesz transforms using the martingale decomposition of t…
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…