40 citations · 489 across the 52 of their papers we have counts for
5 papers · 1 filter
Decoupling inequalities for quadratic forms
Shaoming Guo, Changkeun Oh, Ruixiang Zhang +1
We prove sharp decoupling inequalities for and arbitrary tuples of quadratic forms. Connections to prior results on decoupling inequalities for qu…
A variable coefficient multi-frequency lemma
Shaoming Guo, Pavel Zorin-Kranich
We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by K…
Variational truncations of singular integrals on spaces of homogeneous type
Pavel Zorin-Kranich
We prove sharp weighted estimates for -variations of averages and truncated singular integrals on suitable spaces of homogeneous type, including homogeneous nilpotent Lie groups…
Rough semimartingales and -variation estimates for martingale transforms
Peter Friz, Pavel Zorin-Kranich
We establish a new scale of -variation estimates for martingale paraproducts, martingale transforms, and Itô integrals, of relevance in rough paths theory, stochastic, and harmo…
Carleson embedding on tri-tree and on tri-disc
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1
We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in bi-disc and tri-disc this proves…