5 citations · 8 across the 5 of their papers we have counts for
5 papers
Singular Integrals associated with Reflection Groups on Euclidean Space
Yongsheng Han, Ji Li, Chaoqiang Tan +2
In the field of harmonic analysis, geometric considerations are frequently crucial. Specially, group actions such as translations, dilations and rotations on Euclidean space are in…
The Kato-Ponce Inequality with Polynomial Weights
Seungly Oh, Xinfeng Wu
We consider various versions of fractional Leibniz rules (also known as Kato-Ponce inequalities) with polynomial weights for . We sho…
Variational Inequalities for Bilinear Averaging Operators over Convex Bodies
Yong Ding, Guixiang Hong, Xinfeng Wu
We study -variation inequality for bilinear averaging operators over convex bodies defined by \begin{align*} \mathbf{A}_t^G(f_1,f_2)(x) & =\frac{1}{|G_t|}\int_{G_t…
Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces
Jarod Hart, Rodolfo H. Torres, Xinfeng Wu
We prove that bilinear fractional integral operators and similar multipliers are smoothing in the sense that they improve the regularity of functions. We also treat bilinear singul…
An atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^{n}\times{\rr}^m)$ with applications
Xinfeng Wu
In this paper, we give an atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^n\times {\rr}^m)$ for , which were introduced in \cite{hl1}. A remarkabl…