@article{8ea9b3c12e1c4a49b001423ef5d6d49a,
title = "Uniform resolvent estimates for Schr{\"o}dinger operator with an inverse-square potential",
abstract = "We study the uniform resolvent estimates for Schr{\"o}dinger operator with a Hardy-type singular potential. Let LV=−Δ+V(x) where Δ is the usual Laplacian on Rn and V(x)=V0(θ)r−2 where r=|x|,θ=x/|x| and V0(θ)∈C1(Sn−1) is a real function such that the operator −Δθ+V0(θ)+(n−2)2/4 is a strictly positive operator on L2(Sn−1). We prove some new uniform weighted resolvent estimates and also obtain some uniform Sobolev estimates associated with the operator LV.",
keywords = "Inhomogeneous Strichartz estimate, Inverse-square potential, Sobolev inequality, Uniform resolvent estimate",
author = "Haruya Mizutani and Junyong Zhang and Jiqiang Zheng",
note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = mar,
day = "1",
doi = "10.1016/j.jfa.2019.108350",
language = "English",
volume = "278",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "4",
}