This paper introduces a geometric, potential theoretic approach to the study of twist point in the boundary of a planar domain. It introduces a map h from a domain D to harmonic functions such that, when z tends to a boundary point w, the limit behaviour of h determines if w is a twist point or is sectorially accessible. The construction is based only on potential-theoretic methods and does not use the Riemann mapping theorem.
Arcozzi, N., Casadio Tarabusi, E., Di Biase, F., Picardello, A.m. (2005). A potential theoretic approach to twisting. In D. Bakry, L. Beznea, G. Bucur, M. Rockner (a cura di), Current trends in potential theory (pp. 3-15). Bucarest : Theta Foundation.
A potential theoretic approach to twisting
PICARDELLO, ANGELO MASSIMO
2005-01-01
Abstract
This paper introduces a geometric, potential theoretic approach to the study of twist point in the boundary of a planar domain. It introduces a map h from a domain D to harmonic functions such that, when z tends to a boundary point w, the limit behaviour of h determines if w is a twist point or is sectorially accessible. The construction is based only on potential-theoretic methods and does not use the Riemann mapping theorem.| File | Dimensione | Formato | |
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