Work

Complex linear differential equations with solutions in Bergman-Morrey spaces

Year: 2024

Type: article

Abstract: In this note, we will show two sufficient conditions such that the solutions of the equation lie in the Bergman-Morrey space (the space recently introduced by Liu, et al.), where are analytic functions defined in the unit disc. In addition, we present two sufficient conditions ensuring that all solutions of the complex linear differential equation lie in the Dirichlet-Morrey spaces. This work continues the lines of the previous characterizations by Huusko, et al. and Sun, et al. for growth spaces and Dirichlet-Morrey spaces and so forth.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.128822

Authors: Huayou Xie, Qingze Lin

Institutions: Sun Yat-sen University, Shantou University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funder: Shantou University