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Details van artikel 106 van 269 gevonden artikelen
| Titel: |
Infinitesimal teichmuller geometry |
| Auteur: |
Lakic, Nikola |
| Verschenen in: |
Complex variables and elliptic equations |
| Paginering: | Jaargang 30 (1996) nr. 1 pagina's 1-17 |
| Jaar: |
1996-05 |
| Inhoud: |
Let A(X) be the Banach space of integrable, holomorphic, quadratic differentials ϕ on a Riemann surface X. We characterize the points of A(X) at which the norm is weak uniformly convex in terms of the infinitesimal form of Teichmuller's metric on QS mod Sand we give a quantified version of this characterization. Sullivan's coiling property applies along any Beltrami line [t|ϕ|/ϕ|] for which ϕ is a point of weak uniform convexity and the amount of coiling is quantified by the quantified version of weak convexity. For a closed set J in [image omitted] , we let A(J) be the Banach space of integrable functions in [image omitted] which are holomorphic in the complement of J. We generalize Bers' approximation theorem by showing that rational functions with simple poles in J are dense in A(J). Density is with respect to the L1-norm over the whole complex plane, including J |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 106 van 269 gevonden artikelen
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