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Conformal isomorphism of inner functions

Published online by Cambridge University Press:  01 June 1997

N. F. G. MARTIN
N. F. G. MARTIN
Affiliation:
Department of Mathematics, Math-Astronomy Building, University of Virginia, Charlottesville, VA 22903, USA
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Abstract

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If a non-Möbius inner function on the disk witha fixed point in theopen disk has a boundary function which is measuretheoretically conjugate to the boundary function of anotherinner function with fixed point in the open disk, then theinner functions are conformally conjugate.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 3 , June 1997, pp. 663 - 666
Copyright
1997 Cambridge University Press