53 citations · 243 across the 21 of their papers we have counts for
28 papers
Improved weighted bounds for the strong maximal function
Sheldy Ombrosi, Guillermo Rey
We improve the exponents of the constant in the strong and weak-type weighted bounds for the strong maximal function, for every and every dimension …
Restricted weighted weak boundedness for product type operators
María Jesús Carro, Sheldy Ombrosi
Given a bilinear (or sub-bilinear) operator , we prove restricted weighted weak type inequalities of the form $$ ||B(f_1, f_2)||_{L^{p, \infty}(w_1^{p/p_1}w_2^{p/p_2})}\lesssim…
Endpoint multilinear restricted weak type extrapolation theorem
Kangwei Li, Teresa Luque, Sheldy Ombrosi
In this paper we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and 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…
Bloom weighted bounds for sparse forms associated to commutators
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
In this paper we consider bilinear sparse forms intimately related to iterated commutators of a rather general class of operators. We establish Bloom weighted estimates for these f…
Weighted maximal inequalities on hyperbolic spaces
Jorge Antezana, Sheldy Ombrosi
In this work we develop a weight theory in the setting of hyperbolic spaces. Our starting point is a variant of the well-known endpoint Fefferman-Stein inequality for the centered…
Sharp embeddings between weighted Paley-Wiener spaces
Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4
In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…
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…
Upper endpoint estimates and extrapolation for commutators
Kangwei Li, Sheldy Ombrosi, Israel P. Rivera-Ríos
In this note we revisit the upper endpoint estimates for commutators following the line by Harboure, Segovia and Torrea. Relying upon the suitable BMO subspace suited for the commu…
BMO with respect to Banach function spaces
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
For every cube we let be a quasi-Banach function space over such that , and for define \begin{align*} \|f\|_…
Weighted Lorentz spaces: sharp mixed estimate for maximal functions
Natalia Accomazzo, Javier Duoandikoetxea, Zoe Nieraeth +2
We prove the sharp mixed weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely \[ \|M\|_{L^{p,q}(w)} \les…
Operator-free sparse domination
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
We obtain a sparse domination principle for an arbitrary family of functions , where and is a cube in . When applied to operators, t…
On two weight estimates for iterated commutators
Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos
In this paper we extend the bump conjecture and a particular case of the separated bump conjecture with logarithmic bumps to iterated commutators . Our results are new even…
Fefferman-Stein inequalities for the Hardy-Littlewood maximal function on the infinite rooted -ary tree
Sheldy Ombrosi, Israel P. Rivera-Ríos, Martín D. Safe
In this paper weighted endpoint estimates for the Hardy-Littlewood maximal function on {the infinite rooted} -ary tree are provided. Motivated by Naor and Tao the following Feff…
A note on generalized Fujii-Wilson conditions and BMO spaces
Sheldy Ombrosi, Carlos Pérez, Israel P. Rivera-Ríos +1
In this note we generalize the definition of Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as , $A_\infty^{…
End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications
Kangwei Li, José María Martell, Henri Martikainen +2
In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so…
Some remarks on the pointwise sparse domination
Andrei K. Lerner, Sheldy Ombrosi
We obtain an improved version of the pointwise sparse domination principle established by the first author in [19]. This allows us to determine nearly minimal assumptions on a sing…
Extrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform
Kangwei Li, José María Martell, Sheldy Ombrosi
In this paper we solve a long standing problem about the multivariable Rubio de Francia extrapolation theorem for the multilinear Muckenhoupt classes , which were exte…
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture
Andrei K. Lerner, Fedor Nazarov, Sheldy Ombrosi
We construct an example showing that the upper bound for the norm of the Hilbert transform cannot be improved in gen…
Commutators of singular integrals revisited
Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos
We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of opera…
Weighted mixed weak-type inequalities for multilinear operators
Kangwei Li, Sheldy J. Ombrosi, Belén Picardi
In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let and $ν= w_1^\f…
Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates
Kangwei Li, Sheldy Ombrosi, Carlos Pérez
We show that if and , then there is a constant depending on the constant of and the constant of such that $$\Big\|\frac{ T(…
Multilinear Marcinkiewicz-Zygmund inequalities
Daniel Carando, Martin Mazzitelli, Sheldy Ombrosi
We extend to the multilinear setting classical inequalities of Marcinkiewicz and Zygmund on -valued extensions of linear operators. We show that for certain $1 \leq p, q_1,…