8 citations · 13 across the 5 of their papers we have counts for
5 papers
Weighted refined decoupling estimates and application to Falconer distance set problem
Xiumin Du, Yumeng Ou, Kevin Ren +1
We prove some weighted refined decoupling estimates. As an application, we give an alternative proof of the following result on Falconer's distance set problem by the authors in a…
On a free Schrödinger solution studied by Barceló--Bennett--Carbery--Ruiz--Vilela
Xiumin Du, Yumeng Ou, Hong Wang +1
We present a free Schrödinger solution studied by Barceló--Bennett--Carbery--Ruiz--Vilela and show why it can be viewed as a sharp example for the recently discovered refined decou…
Uniform sparse domination of singular integrals via dyadic shifts
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
Using the Calderón-Zygmund decomposition, we give a novel and simple proof that bounded dyadic shifts admit a domination by positive sparse forms with linear growth in the co…
Higher order Journe commutators and characterizations of multi-parameter BMO
Yumeng Ou, Stefanie Petermichl, Elizabeth Strouse
We consider iterated commutators of multiplication by a symbol function and tensor products of Hilbert or Riesz transforms. We establish mixed BMO classes of symbols that character…
Multi-parameter singular integral operators and representation theorem
Yumeng Ou
We formulate a class of singular integral operators in arbitrarily many parameters using mixed type characterizing conditions. We also prove a multi-parameter representation theore…