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Holomorphic Besov spaces Bp(ω) (0 < p < 1) on the polydisc

✍ Scribed by Harutyunyan, Anahit V.; Lusky, Wolfgang

Book ID
120810299
Publisher
Oldenbourg Wissenschaftsverlag
Year
2010
Tongue
English
Weight
133 KB
Volume
30
Category
Article
ISSN
0174-4747

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✦ Synopsis

In this work we introduce ω-weighted Besov spaces of holomorphic functions on the polydisc in the case if 0 < p < 1. We describe the holomorphic Besov space in terms of the corresponding L p (ω) space. The projection theorems and theorems of the existence of inverse are proved. This work gives also a complete description of (B p (ω)) * and the solution of the problem of diagonal mapping.

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