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Outer Functions and Cyclic Elements in Bergman Spaces

✍ Scribed by B. Korenblum


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
475 KB
Volume
115
Category
Article
ISSN
0022-1236

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Bergman and Bloch spaces of vector-value
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## Abstract We investigate Bergman and Bloch spaces of analytic vector‐valued functions in the unit disc. We show how the Bergman projection from the Bochner‐Lebesgue space __L~p~__(𝔻, __X__) onto the Bergman space __B~p~__(__X__) extends boundedly to the space of vector‐valued measures of bounded