Analytic functions of prespectral operators
β Scribed by B. Nagy
- Publisher
- Akadmiai Kiad
- Year
- 1978
- Tongue
- English
- Weight
- 914 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
The purpose of the present paper is to investigate some integral preserving properties for certain analytic functions in the open unit disk. We also obtain the conditions for close-to-convex functions in a sector. Our results contain some interesting corollaries as the special cases.
Let β¦1, β¦2 be open subsets of R d 1 and R d 2 , respectively, and let A(β¦1) denote the space of real analytic functions on β¦1. We prove a Glaeser type theorem by characterizing when a composition operator CΟ : Using this result we characterize when A(β¦1) can be embedded topologically into A(β¦2) as