Harmonic measure, infinite kernels, and symmetrization

Author:

Velling John

Abstract

The vanishing of area for the infinite Nielsen kernel of an arbitrary open Riemann surface is shown to follow from iteration of a natural geometric operation on the unit disk. This operation compares the distribution of harmonic measure on the boundaries of two related simply connected domains, and is not yet sufficiently well understood.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Nielsen extensions of Riemann surfaces;Bers, Lipman;Ann. Acad. Sci. Fenn. Ser. A I Math.,1976

2. The Bers-Nielsen kernels and souls of open surfaces with negative curvature;Cao, Jian Guo;Michigan Math. J.,1994

3. Linearization and mappings onto pseudocircle domains;Haas, Andrew;Trans. Amer. Math. Soc.,1984

4. On the infinite Nielsen extension of a torus;Halpern, Noemi;Complex Variables Theory Appl.,1984

5. Some remarks on Nielsen extensions of Riemann surfaces;Halpern, Noemi;Michigan Math. J.,1983

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. THE NIELSEN KERNEL OF AN ARBITRARY RIEMANN SURFACE;Bulletin of the London Mathematical Society;2006-09-20

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