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math.CA2024
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…
math.CA2024
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…
math.CA2024
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…