Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 75, pp. 1-12 Title: Cylindrical Hardy inequalities on half-spaces Authors: Nguyen Tuan Duy (Univ. of Finance-Marketing, Ho Chi Minh City, Vietnam) Huy Bac Nguyen (Technical Univ. of Ostrava, Czech Republic) Abstract: We study some versions of the cylindrical Hardy identities and inequalities in the style of Badiale-Tarantello [2]. We show that the best constants of the cylindrical Hardy inequalities can be improved when we consider functions on half-spaces. Submitted May 24, 2020. Published July 16, 2020. Math Subject Classifications: 26D10, 35A23, 46E35. Key Words: Cylindrical Hardy inequality; Bessel pair.