|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 2 van 7 gevonden artikelen
| Titel: |
Extremal domains associated with an analytic function I |
| Auteur: |
Stahl, Herbert |
| Verschenen in: |
Complex variables and elliptic equations |
| Paginering: | Jaargang 4 (1985) nr. 4 pagina's 311-324 |
| Jaar: |
1985-09 |
| Inhoud: |
In this paper we investigate the following two extremal problems: A) Let F be a continuum in the extended complex plane[image omitted] that does not divide [image omitted] and let f(z) be a function analytic on F By D we denote domains in [image omitted] such that f(z) has a single-valued analytic continuation in D. Does there exist a domain D0 with minimal condenser capacity [image omitted] B) Let f(z) be a function analytic in a neighborhood of infinity. By D we denote domains in [image omitted] , such that f{z) has a single-valued analytic continuation in D. Does there exist a domain D0 with minimal logarithmic capacity [image omitted] It is proved that there exist extremal domains D0 in both problems. In a second part of the paper it will be shown that these domains are uniquely determined up to a boundary set of capacity zero. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 7 gevonden artikelen
| << vorige | volgende >> |