Variational Inequalities for Bilinear Averaging Operators over Convex Bodies

Yong Ding, Guixiang Hong, Xinfeng Wu

We study $q$-variation inequality for bilinear averaging operators over convex bodies $(G_t{)}_{t>0}$ defined by \begin{align*} \mathbf{A}_t^G(f_1,f_2)(x) & =\frac{1}{|G_t|}\int_{G_t…