16 papers · 1 filter
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…