Riesz Transform Characterization of Weighted Hardy Spaces Associated with Schrödinger Operators. (26th July 2016)

• Record Type: Journal Article
• Authors: Zhu, Hua
• Other Names: Fan Dashan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/2856103
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We characterize the weighted local Hardy spaces h ρ 1 ( ω ) related to the critical radius function ρ and weights ω ∈ A 1 ρ, ∞ ( R n ) by localized Riesz transforms R ^ j ; in addition, we give a characterization of weighted Hardy spaces H L 1 ( ω ) via Riesz transforms associated with Schrödinger operator L, where L = - Δ + V is a Schrödinger operator on R n (n ≥ 3 ) and V is a nonnegative function satisfying the reverse Hölder inequality.