50 citations · 397 across the 45 of their papers we have counts for
6 papers · 1 filter
New bounds for bilinear Calderón-Zygmund operators and applications
Wendolín Damián, Mahdi Hormozi, Kangwei Li
In this work we extend Lacey's domination theorem to prove the pointwise control of bilinear Calderón--Zygmund operators with Dini--continuous kernel by sparse operators. The preci…
Two weight inequalities for bilinear forms
Kangwei Li
Let . Given a pair of weights and a sparse family , we study the two weight inequality for the following bi-sublinear form \[ B(f,…
Weak and strong - estimates for square functions and related operators
Tuomas P. Hytönen, Kangwei Li
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main ne…
- estimates for general multilinear sparse operators
Mahdi Hormozi, Kangwei Li
In this paper, we study the - estimates for a class of multilinear dyadic positive operators. As applications, the - estimates for different operators…
On - type estimates for square functions
Michael T. Lacey, Kangwei Li
We prove strong-type - estimate for square functions, improving on the bound due to Lerner. Entropy bounds, in the recent innovation of Treil-Volberg, are the…
A characterization of two weight norm inequality for Littlewood-Paley -function
Mingming Cao, Kangwei Li, Qingying Xue
Let and be the well-known high dimensional Littlewood-Paley function which was defined and studied by E. M. Stein, \begin{align*} g_λ^{*}(f)(x) =\bigg(\iint_{\ma…