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Complemented Submodules in Weighted Spaces of Analytic Functions

✍ Scribed by Michael Langenbruch; Siegfried Momm


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
614 KB
Volume
157
Category
Article
ISSN
0025-584X

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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 CΟ• : Using this result we characterize when A(Ω1) can be embedded topologically into A(Ω2) as