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Spaces of vector-valued functions and tensor products

✍ Scribed by A. V. Bukhvalov

Book ID: 112451266
Publisher: SP MAIK Nauka/Interperiodica
Year: 1973
Tongue: English
Weight: 648 KB
Volume: 13
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00971862

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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