End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator. (20th March 2021)

• Record Type: Journal Article
• Authors: Chen, Yanping; Tao, Wenyu
• Other Names: Avery Richard I. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8867966
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let L = − Δ + μ be the generalized Schrödinger operator on ℝ d, d ≥ 3, where μ ≠ 0 is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions. In this work, we give a new BMO space associated to the generalized Schrödinger operator L, BM O θ, L, which is bigger than the BMO spaces related to the classical Schrödinger operators A = − Δ + V, with V a potential satisfying a reverse Hölder inequality introduced by Dziubański et al. in 2005. Besides, the boundedness of the Littlewood-Paley operators associated to L in BM O θ, L also be proved.