Loewner Chains and the Roper–Suffridge Extension Operator

✍ Scribed by Ian Graham; Gabriela Kohr; Mirela Kohr

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 139 KB
• Volume: 247
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.6843

✦ Synopsis

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x Let f be a locally univalent function on the unit disc and let ␣ g 0, . We 2 consider the family of operators extending f to a holomorphic map from the unit

1 1 Ž . z , . . . , z . When ␣ s we obtain the Roper᎐Suffridge extension operator. We 2 n 2