A sharp Schwarz inequality on the boundary-Reference-Cited by-同舟云学术

A sharp Schwarz inequality on the boundary

Published:2000-05-18 Issue:12 Volume:128 Page:3513-3517
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Osserman Robert

Abstract

A number of classical results reflect the fact that if a holomorphic function maps the unit disk into itself, taking the origin into the origin, and if some boundary point b b maps to the boundary, then the map is a magnification at b b . We prove a sharp quantitative version of this result which also sharpens a classical result of Loewner.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-12/S0002-9939-00-05463-0/S0002-9939-00-05463-0.pdf

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