11 citations · 69 across the 51 of their papers we have counts for
4 papers · 2 filters
Multilinear Multiplier Theorems and Applications
Loukas Grafakos, Danqing He, Hanh Van Nguyen +1
We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide applications concerning the boundedness o…
Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators
Adam Sikora, Lixin Yan, Xiaohua Yao
This paper comprises two parts. In the first, we study to bounds for spectral multipliers and Bochner-Riesz means with negative index in the general setting of abstract…
On characterization of Poisson integrals of Schrödinger operators with Morrey traces
Liang Song, Xiaoxiao Tian, Lixin Yan
Let be a Schrödinger operator of the form acting on where the nonnegative potential belongs to the reverse Hölder class for some $q\geq n.…
A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates
Liang Song, Lixin Yan
Let be a nonnegative, self-adjoint operator satisfying Gaussian estimates on $L^2(\RR^n)$. In this article we give an atomic decomposition for the Hardy spaces $ H^p_{L,max}(\R…