Invariant metrics and the boundary behavior of holomorphic functions on domains in\mathbb{C}^n |
| |
Authors: | Steven G Krantz |
| |
Institution: | 1. Department of Mathematics, Washington University, 63130, St. Louis, MO
|
| |
Abstract: | Invariant metrics are used to provide a unified approach to the study of holomorphic functions in Hardy classes on domains
in one and several complex variables. Both approach regions and boundary measures are constructed from the metric. Examples
are provided to show how diverse theories can be unified with this approach. The Hartogs extension phenomenon and Fatou’s
theorem are seen to be two aspects of the same circle of ideas.
Author supported in part by a grant from the National Science Foundation |
| |
Keywords: | 1980 Math Subject Classification" target="_blank">1980 Math Subject Classification Primary: 32A35 secondary: 32A17 32A30 |
本文献已被 SpringerLink 等数据库收录! |