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A class of Loewner chain preserving extension operators

✍ Scribed by Jerry R. Muir Jr.


Book ID
108175879
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
218 KB
Volume
337
Category
Article
ISSN
0022-247X

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Loewner Chains and the Roper–Suffridge E
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## w 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

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to marvin rosenblum, with best wishes on the occasion of his retirement Several extensions of Loewner's theory of monotone operator functions are given. These include a theorem on boundary interpolation for matrix-valued functions in the generalized Nevanlinna class. The theory of monotone operator