New applications of Schrödinger type inequalities in the Schrödingerean Hardy space

Abstract

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