𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Distortion Theorem for Functions Convex in One Direction

✍ Scribed by Mark Elin; David Shoikhet; Fiana Yacobzon


Book ID
107508796
Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
128 KB
Volume
5
Category
Article
ISSN
1661-8254

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Distortion Theorem for Quadrature Doma
✍ Björn Gustafsson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 168 KB

We prove that any finitely connected domain in the plane can be distorted so that it becomes ''graviequivalent'' to a signed measure with arbitrarily small support. Precisely: if D ; ‫ރ‬ is a bounded, finitely connected domain with analytic Ž . boundary then for any a g D and r ) 0, ) 0 with B a, r