Univalent functions and Dirichlet-Morrey spaces. Issue 9 (2nd September 2021)

• Record Type: Journal Article
• Authors: Tang, Shuan; Hu, Guangming; Shi, Qingtian; Jin, Jianjun
• Is Part Of: Complex variables and elliptic equations. Volume 66:Issue 9(2021)
• Page Start: 1580
• Page End: 1590
• Publication Date: 2021-09-02
• Subjects: Univalent function -- Schwarzian derivative -- logarithmic derivative -- quasiconformal map -- Dirichlet-Morrey space; Primary 47B33 -- 46E15 -- 30D50; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2020.1769084
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : This paper concerns univalent analytic functions f for which log ⁡ f ′ belong to Dirichlet-Morrey spaces. We establish some characterizations of Dirichlet-Morrey domains. Our results involve Schwarzian derivatives, quasiconformal extensions and Grunsky kernels of univalent functions.