Hyperbolic composition operators on the ball-Reference-Cited by-同舟云学术

Hyperbolic composition operators on the ball

Published:2012-08-09 Issue:2 Volume:365 Page:911-938
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bayart F.,Charpentier S.

Abstract

We give a classification, up to automorphisms, of hyperbolic linear fractional maps of the ball. We then show that this classification is very convenient to study the geometric properties of these maps, as well as the spectrum and the dynamics of the associated composition operators. We conclude by showing how these properties can be transfered to composition operators associated to hyperbolic self-maps of the ball which are not linear-fractional maps.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2013-365-02/S0002-9947-2012-05646-7/S0002-9947-2012-05646-7.pdf

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