4 citations · 7 across the 5 of their papers we have counts for
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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 $…
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…
Riesz transforms associated with higher-order Schrödinger type operators
Qingquan Deng, Yong Ding, Xiaohua Yao
In this paper, let be a Schrödinger type operator where is higher order elliptic operator with complex coefficients in divergence form and is signed measura…