Boundedness of Singular Integrals on Hardy Type Spaces Associated with Schrödinger Operators. (6th April 2015)

• Record Type: Journal Article
• Authors: Dong, Jianfeng; Huang, Jizheng; Liu, Heping
• Other Names: Sanchez Jose Luis Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-04-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/409215
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : LetL = - Δ + V be a Schrödinger operator onR n, n ≥ 3, whereV ≢ 0 is a nonnegative potential belonging to the reverse Hölder classB n / 2 . The Hardy type spacesH L p, n / ( n + δ ) < p ≤ 1, for someδ > 0, are defined in terms of the maximal function with respect to the semigroup{ e - t L } t > 0 . In this paper, we investigate the bounded properties of some singular integral operators related toL, such asL i γ and∇ L - 1 / 2, on spacesH L p . We give the molecular characterization ofH L p, which is used to establish theH L p -boundedness of singular integrals.