5 papers
On pointwise convergence of multilinear Bochner-Riesz means
Danqing He, Kangwei Li, Jiqiang Zheng
We improve the range of indices when the multilinear Bochner-Riesz means converges pointwisely. We obtain this result by establishing the estimates and weighted estimates of…
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…
Restricted testing for positive operators
Tuomas P. Hytönen, Kangwei Li, Eric T. Sawyer
We prove that for certain positive operators , such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant , depending only on the dimension…