4 citations · 15 across the 13 of their papers we have counts for
13 papers
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…
Sharp inequalities for linear combinations of orthogonal martingales
Yong Ding, Loukas Grafakos, Kai Zhu
For any two real-valued continuous-path martingales and , with and being orthogonal and being differentially subordinate to $…
A note on the discrete Fourier restriction problem
Xudong Lai, Yong Ding
In this paper, we establish a general discrete Fourier restriction theorem. As an application, we make some progress on the discrete Fourier restriction associated with KdV equatio…
Some jump and variational inequalities for the Calderón commutators and related operators
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, we establish jump and variational inequalities for the Calderón commutators, which are typical examples of non-convolution Calderón-Zygmund operators. For this purpo…
Variational inequalities for the commutators of rough operators with BMO functions
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, starting with a relatively simple observation that the variational estimates of the commutators of the standard Calderón-Zygmund operators with the BMO functions can…
Weighted jump and variational inequalities for rough operators
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, we systematically study weighted jump and variational inequalities for rough operators. More precisely, we show some weighted jump and variational inequalities for t…