Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators. (24th March 2023)

• Record Type: Journal Article
• Authors: Yang, Li; Li, Pengtao
• Other Names: Scapellato Andrea Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2023(2023)
• Publication Date: 2023-03-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2023/8001131
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let L = − Δ + V be a Schrödinger operator on ℝ n, where Δ denotes the Laplace operator ∑ i = 1 n ∂ 2 / ∂ x i 2 and V is a nonnegative potential belonging to a certain reverse Hölder class R H q ℝ n with q > n / 2 . In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrödinger operators.