A Norm on the Holomorphic Besov Space
✍ Scribed by Bjarte Böe
- Book ID
- 120809518
- Publisher
- American Mathematical Society
- Year
- 2003
- Tongue
- English
- Weight
- 503 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0002-9939
- DOI
- 10.2307/1194244
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📜 SIMILAR VOLUMES
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
The definition of the holomorphic, weighted Besov spaces B p (α) in the n-dimensional polydisc is extended to all 0 < p < +∞, 1p < α < +∞. Then Toeplitz' operators are considered in B p (α) for 1 ≤ p < ∞, and the symbols {h} for which the Toeplitz operators {T h } induce bounded operators T h : B p