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Sharp Schwarz-type lemmas for the spectral unit ball by Bharali, Gautam is a scholarly article available to read on EtoBox.

What is Sharp Schwarz-type lemmas for the spectral unit ball about?

We provide generalisations of two Schwarz-type lemmas -- the first a result of Globevnik and the other due to Ransford and White -- for holomorphic mappings into the spectral unit ball. The first concerns mappings of the unit disc in C into the spectral unit ball, while the second concerns self- mappings. The aforementioned results apply to holomorphic mappings that map the origin to the origin. We extend these results to general holomorphic mappings into the spectral unit ball. We also show that our results are sharp.

Author

Bharali, Gautam

Published

2006

Language

EN