Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs

Details Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs

2007-02-20

arxiv.org/abs/math/0702581v1

Mathematics

Complex Variables

Scientific paper

The classical Julia-Wolff-Caratheodory Theorem is one of the main tools to study the boundary behavior of holomorphic self-maps of the unit disc of $\C$. In this paper we prove a Julia-Wolff-Caratheodory's type theorem in the case of the polydisc of $\C^n.$ The Busemann functions are used to define a class of "generalized horospheres" for the polydisc and to extend the notion of non-tangential limit. With these new tools we give a generalization of the classical Julia's Lemma and of the Lindelof Theorem, which the new Julia-Wolff-Caratheodory Theorem relies upon.

Affiliated with

Also associated with

No associations

Rating

Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383679