Work

Boundedness of Singular Integrals on Hardy Type Spaces Associated with Schrödinger Operators

Year: 2015

Type: article

Abstract: Let L=-Δ+V be a Schrödinger operator on Rn,n≥3 , where V≢0 is a nonnegative potential belonging to the reverse Hölder class Bn/2 . The Hardy type spaces HLp, n/(n+δ) <p≤1, for some δ>0 , are defined in terms of the maximal function with respect to the semigroup {e-tL}t>0 . In this paper, we investigate the bounded properties of some singular integral operators related to L , such as Liγ and ∇L-1/2 , on spaces HLp . We give the molecular characterization of HLp , which is used to establish the HLp -boundedness of singular integrals.

Source: Journal of Function Spaces

DOI: 10.1155/2015/409215

Authors: Jianfeng Dong, Jizheng Huang, Heping Liu

Institutions: Shanghai University, North China University of Technology, Peking University

Language: Latvian

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

Funders: National Natural Science Foundation of China, Beijing Municipal Natural Science Foundation, Specialized Research Fund for the Doctoral Program of Higher Education of China