8 papers
On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate
Israel P. Rivera-Ríos
In this paper the incomparability of certain Rahm entropy maximal functions introduced by Rahm and Orlicz maximal functions that arise in quantitative endpoint estimates for Calder…
Convex body domination for the commutator of vector valued operators with multiple matrix-valued symbols
Joshua Isralowitz, Israel P. Rivera-Ríos, Francisco Sáez-Rivas
We provide convex body domination results for the generalized vector-valued commutator of those operators that admit specific forms of convex body domination themselves. We also pr…
A Christ-Fefferman type approach to the one sided maximal operator
Francisco J. Martín-Reyes, Israel P. Rivera-Ríos, Pablo Rodríguez-Padilla
In this paper, an approach to the one sided maximal function in the spirit of the Christ-Fefferman proof for the strong type weighted estimates of the maximal function is provided.…
A note on one sided extrapolation of compactness and applications
Francisco Javier Martín-Reyes, Israel P. Rivera-Ríos
In this paper one sided counterparts of compactness extrapolation results of Hytönen and Lappas are provided. As a consequence of those results, compactness results for one sided s…
On some improved weighted weak type inequalities
Andrei K. Lerner, Kangwei Li, Sheldy Ombrosi +1
In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator in the case , improving a recent result b…
On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities
Andrei Lerner, Kangwei Li, Sheldy Ombrosi +1
In a recent work by Cruz-Uribe et al. was obtained that \[|\{x\in{\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>α\}|\lesssim\frac{[w]_{A_1}^2}α\int_{{\mathbb{R}^d}}|f|dx\] both in the matrix a…
Endpoint mixed weak type extrapolation
Sheldy Ombrosi, Israel P. Rivera-Ríos
The purpose of this note is to extend the extrapolation result by by Cruz-Uribe Martell and Pérez as follows. Given a family of pairs of functions suppose that for so…
One-sided estimates via function
María Lorente, Francisco J. Martín-Reyes, Israel P. Rivera-Ríos
We recall that if there exist and such that for any with and any measurable set , the following holds \[ \in…