Let Ω1, Ω2 be open subsets of R d 1 and R d 2 , respectively, and let A(Ω1) denote the space of real analytic functions on Ω1. We prove a Glaeser type theorem by characterizing when a composition operator Cϕ : Using this result we characterize when A(Ω1) can be embedded topologically into A(Ω2) as
Operators on Spaces of Analytic Functions Belonging to L(1, ∞)
✍ Scribed by Mark C. Ho
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 149 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
< < Ž
. 1r 2 . of T s T *T
. In this paper, we will give geometric conditions on several classes of operators, including Hankel and composition operators, belonging to L L Ž1, ϱ. . Specifically, we will show that the function space characterizing the symbols of these operators is a nonseparable Banach space which lies strictly between Ž . Ž . Ž . B D and all the other holomorphic Besov spaces B D p) 1 . ᮊ 2002 Elsevier
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