Holomorphic self-maps of the disk intertwining two linear fractional maps

DOI10.1090/conm/561/11115zbMath1260.30011arXiv0806.2276OpenAlexW2962679143MaRDI QIDQ2906469

Santiago Diaz-Madrigal, Dragan Vukotić, Manuel D. Contreras, María J. Martín

Publication date: 5 September 2012

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2276

zbMATH Keywords

intertwiningDenjoy-Wolff pointlinear fractional mapholomorphic self-map

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06) Proceedings, conferences, collections, etc. pertaining to operator theory (47-06) Special classes of linear operators (47Bxx) Spaces and algebras of analytic functions of one complex variable (30Hxx) Geometric function theory (30Cxx) Function theory on the disc (30Jxx)

Related Items (5)

Chaos for linear fractional transformations of shifts ⋮ Real symmetric, unitary, and complex symmetric weighted composition operators on Bergman spaces of polydisk ⋮ Canonical models for holomorphic iteration ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Extended eigenvalues of composition operators

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