Complex linear differential equations with solutions in the H2K spaces. Issue 11 (2nd November 2022)

• Record Type: Journal Article
• Authors: Sun, Yu; Liu, Jinlin; Hu, Guangming
• Is Part Of: Complex variables and elliptic equations. Volume 67:Issue 11(2022)
• Page Start: 2577
• Page End: 2588
• Publication Date: 2022-11-02
• Subjects: Complex linear differential equation -- Morrey type spaces -- higher order derivative; 30D99 -- 32A25 -- 34M10; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2021.1932848
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper, we give the n th derivertive criterion for functions belonging to function spaces H K 2 . Furthermore, some sufficient conditions for coefficients of the linear differential equation f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = A k ( z ) are found such that all solutions belong to the H K 2 spaces, where A j ( z ) are analytic functions in D, j = 0, …, k .