The boundary behavior of holomorphic functions: Global and local results
| dc.creator | Krantz, Steven G. | |
| dc.date | 2006-08-26 | |
| dc.date.accessioned | 2026-07-07T07:22:11Z | |
| dc.date.available | 2026-07-07T07:22:11Z | |
| dc.description | We develop a new technique for studying the boundary limiting behavior of a holomorphic function on a domain $Ω$ -- both in one and several complex variables. The approach involves two new localized maximal functions. As a result of this methodology, theorems of Calderón type about local boundary behavior on a set of positive measure may be proved in a new and more natural way. We also study the question of nontangential boundedness (on a set of positive measure) versus admissible boundedness. Under suitable hypotheses, these two conditions are shown to be equivalent. | |
| dc.identifier | https://arxiv.org/abs/math/0608650 | |
| dc.identifier | http://arxiv.org/abs/math/0608650 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115569 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A40, 31A20 | |
| dc.title | The boundary behavior of holomorphic functions: Global and local results | |
| dc.type | text |