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On support points of the class $ S^0(B^n)$


Author: Sebastian Schleißinger
Journal: Proc. Amer. Math. Soc. 142 (2014), 3881-3887
MSC (2010): Primary 32H02
DOI: https://doi.org/10.1090/S0002-9939-2014-12106-X
Published electronically: July 16, 2014
MathSciNet review: 3251727
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Abstract: We consider support points of the class $ S^0(B^n)$ introduced by G. Kohr and prove that, given a normalized Loewner chain $ f(z,t)$ such that $ f(\cdot ,0)$ is a support point of $ S^0(B^n),$ all elements of the chain are support points of $ S^0(B^n).$ Also, we prove a similar result for Loewner chains that come from the Roper-Suffridge extension operator.


References [Enhancements On Off] (What's this?)

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Additional Information

Sebastian Schleißinger
Affiliation: Department of Mathematics, University of Wuerzburg, 97074 Wuerzburg, Germany
Email: sebastian.schleissinger@mathematik.uni-wuerzburg.de

DOI: https://doi.org/10.1090/S0002-9939-2014-12106-X
Received by editor(s): August 21, 2012
Received by editor(s) in revised form: November 26, 2012, and December 3, 2012
Published electronically: July 16, 2014
Communicated by: Franc Forstnerič
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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