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Holomorphic Besov spaces in the polydisc and bounded Toeplitz operators

โœ Scribed by Harutyunyan, Anahit V.; Harutyunyan, Gohar


Book ID
120809513
Publisher
Oldenbourg Wissenschaftsverlag
Year
2010
Tongue
English
Weight
148 KB
Volume
30
Category
Article
ISSN
0174-4747

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โœฆ Synopsis


The definition of the holomorphic, weighted Besov spaces B p (ฮฑ) in the n-dimensional polydisc is extended to all 0 < p < +โˆž, 1p < ฮฑ < +โˆž. Then Toeplitz' operators are considered in B p (ฮฑ) for 1 โ‰ค p < โˆž, and the symbols {h} for which the Toeplitz operators {T h } induce bounded operators T h : B p (ฮฑ) โ†’ B p (ฮฑ) are described. As an application, a division theorem on "good inner" functions is obtained in B p (ฮฑ).


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