Zobrazeno 1 - 10
of 343
pro vyhledávání: '"Li, Kangwei"'
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 Soria. Moreover, our main result is obtained on limited ranges of bound
Externí odkaz:
http://arxiv.org/abs/2406.16582
We complete the $L^p$ boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers all monomial curves while previous results had significant geometric
Externí odkaz:
http://arxiv.org/abs/2403.08338
In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator $M_{W,p}$ in the case $1
Externí odkaz:
http://arxiv.org/abs/2402.00506
In a recent work by Cruz-Uribe et al. was obtained that \[|\{x\in{\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>\alpha\}|\lesssim\frac{[w]_{A_1}^2}{\alpha}\int_{{\mathbb{R}^d}}|f|dx\] both in the matrix and scalar settings, where $G$ is either the Hardy-Littlewo
Externí odkaz:
http://arxiv.org/abs/2310.06718
We develop both bilinear theory and commutator estimates in the context of entangled dilations, specifically Zygmund dilations $(x_1, x_2, x_3) \mapsto (\delta_1 x_1, \delta_2 x_2, \delta_1 \delta_2 x_3)$ in $\mathbb{R}^3$. We construct bilinear vers
Externí odkaz:
http://arxiv.org/abs/2301.13655
Publikováno v:
Rev. Un. Mat. Argentina 66 (2023), no. 1, 213-228
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 commutator that was introduced by Accomazzo, we obtain a counterpart for co
Externí odkaz:
http://arxiv.org/abs/2210.07064
Zygmund dilations are a group of dilations lying in between the standard product theory and the one-parameter setting - in $\mathbb{R}^3 = \mathbb{R} \times \mathbb{R} \times \mathbb{R}$ they are the dilations $(x_1, x_2, x_3) \mapsto (\delta_1 x_1,
Externí odkaz:
http://arxiv.org/abs/2203.15777
We study singular integral operators with kernels that are more singular than standard Calder\'on-Zygmund kernels, but less singular than bi-parameter product Calder\'on-Zygmund kernels. These kernels arise as restrictions to two dimensions of certai
Externí odkaz:
http://arxiv.org/abs/2203.15740
Publikováno v:
In Journal of Environmental Chemical Engineering October 2024 12(5)
