The Cauchy Transform of Continuous Linear Functionals and Projections on the Weighted Spaces of Analytic Functions |
| |
Authors: | O. E. Antonenkova F. A. Shamoyan |
| |
Affiliation: | (1) Bryansk State University, Bryansk, Russia |
| |
Abstract: | Under some general assumptions on weight, we give a complete characterization of the Cauchy transform of continuous linear functionals on the weighted spaces of holomorphic functions in a ball. We construct an integral projection that sends the weighted spaces of measurable and n-harmonic functions in the ball onto the corresponding spaces of holomorphic functions. |
| |
Keywords: | linear functional Cauchy transform weighted space holomorphic function |
本文献已被 SpringerLink 等数据库收录! |