7 papers · 1 filter
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…
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…