Quasi-symmetric Conjugacy of Blaschke Products on the unit Circle

Carsten Lunde Petersen

doi:10.1112/blms/bdm055

Quasi-symmetric Conjugacy of Blaschke Products on the unit Circle

Bidragets oversatte titel: Quasi-Symmetrisk konjugation af Blaschke produkter på enhedscirklen

Carsten Lunde Petersen

Matematik og Fysik (IMFUFA)

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

Lad B være et Blaschke product for hvilket restriktionen til enhedscirklen $S$ ¹ er en overlejring af grad d > 1. Det bevises at B^erquasi-symmetrisk konjugeret til z ${rightarrowtail}$ z^d på $S$ ¹, hvis og kun hvis a) enhver periodisk bane på $S$ ¹ er frastødende og b) $S$ ¹ snitter ikke ${omega}$ -grænsemængden for noget rekurrent kritisk punkt for B.
Udgivelsesdato: Oktober

Bidragets oversatte titel	Quasi-Symmetrisk konjugation af Blaschke produkter på enhedscirklen
Originalsprog	Engelsk
Tidsskrift	Bulletin of the London Mathematical Society
Vol/bind	39
Udgave nummer	5
Sider (fra-til)	724-730
Antal sider	7
ISSN	0024-6093
DOI	https://doi.org/10.1112/blms/bdm055
Status	Udgivet - 2007

Emneord

quasi-symmetrisk konjugation
Blaschke Product
rekurrente kritiske punkter

Link til dokument

10.1112/blms/bdm055

http://blms.oxfordjournals.org/cgi/reprint/bdm055?

Citer dette

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title = "Quasi-symmetric Conjugacy of Blaschke Products on the unit Circle",

abstract = "Let B be a Blaschke product for which the restriction to the unit circle 1 is a degree d > 1 covering. We prove that B is quasi-symmetrically conjugate to z zd on 1, if all its periodic points in 1 are repelling and if 1 does not intersect the -limit set of any recurrent critical point for B. ",

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KW - quasi-symmetrisk konjugation

KW - Blaschke Product

KW - rekurrente kritiske punkter

KW - quasi-symmetric conjugacy

KW - Blaschke product

KW - recurrent critical points

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