Abstract
The concept of normal family is an outgrowth of the standard technique for proving the Riemann mapping theorem. Recall that the mapping function is produced as the solution of a certain extremal problem, and showing that that extremal problem actually has a solution is a byproduct of a normal families argument.
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© 2006 Birkhäuser Boston
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(2006). Normal Families. In: Krantz, S.G. (eds) Geometric Function Theory. Cornerstones. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4440-7_3
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DOI: https://doi.org/10.1007/0-8176-4440-7_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4339-3
Online ISBN: 978-0-8176-4440-6
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