New applications of Schrödinger type inequalities in the Schrödingerean Hardy space

Yong Lu; Liang Kou; Jianguo Sun; Guodong Zhao; Wenshan Wang; Qilong Han

doi:10.1186/s13660-017-1577-7

New applications of Schrödinger type inequalities in the Schrödingerean Hardy space

J Inequal Appl. 2017;2017(1):306. doi: 10.1186/s13660-017-1577-7. Epub 2017 Dec 13.

Authors

Yong Lu¹, Liang Kou², Jianguo Sun², Guodong Zhao², Wenshan Wang², Qilong Han²

Affiliations

¹ College of Power and Energy Engineering, Harbin Engineering University, Harbin, 150001 China.
² Department of Computer Science and Technology, Harbin Engineering University, Harbin, 150001 China.

Abstract

As new applications of Schrödinger type inequalities obtained by Jiang (J. Inequal. Appl. 2016: Article ID 247, 2016) in the Schrödingerean Hardy space, we not only obtain the representation of Schrödingerean harmonic functions but also give a sufficient and necessary condition between the Schrödingerean distributional function and its derivative in the Schrödingerean Hardy space.

Keywords: Schrödinger type inequality; Schrödingerean Hardy space; upper half-plane.