Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Shearing Process and an Example of a Bounded Support Function in $$S^0(\mathbb B^2)$$ S 0 ( B 2 )

Shearing Process and an Example of a Bounded Support Function in $$S^0(\mathbb B^2)$$ S 0 ( B 2 ) We introduce a process, that we call shearing, which for any given normal Loewner chain produces a normal Loewner chain made of shears automorphisms. As an application, and in stringent contrast to the one-dimensional case, we prove the existence of a starlike bounded function in the class $$S^0$$ S 0 of the ball $$\mathbb B^2$$ B 2 (in fact the restriction of a shear automorphism of $$\mathbb C^2$$ C 2 ) which is a support point for a linear continuous functional. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Shearing Process and an Example of a Bounded Support Function in $$S^0(\mathbb B^2)$$ S 0 ( B 2 )

Download PDF
7 pages

Loading next page...
 
/lp/springer-journals/shearing-process-and-an-example-of-a-bounded-support-function-in-s-0-hMmMJ0yRXN

References (18)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0096-5
Publisher site
See Article on Publisher Site

Abstract

We introduce a process, that we call shearing, which for any given normal Loewner chain produces a normal Loewner chain made of shears automorphisms. As an application, and in stringent contrast to the one-dimensional case, we prove the existence of a starlike bounded function in the class $$S^0$$ S 0 of the ball $$\mathbb B^2$$ B 2 (in fact the restriction of a shear automorphism of $$\mathbb C^2$$ C 2 ) which is a support point for a linear continuous functional.

Journal

Computational Methods and Function Theory – Springer Journals

Published: Nov 6, 2014

There are no references for this article.