Lipschitzian composition operators in some function spaces
โ Scribed by Janusz Matkowski
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 385 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We deal with the degenerate differential operator Au x [ โฃ x uะ x xG0 Here W denotes the Banach space of all w w Moreover, we assume that the function โฃ is continuous and positive on 0, qฯฑ , it ลฝ . ลฝ . is differentiable at 0, and satisfies the inequalities 0 for suitable constants โฃ and โฃ . We sh
Let โฆ1, โฆ2 be open subsets of R d 1 and R d 2 , respectively, and let A(โฆ1) denote the space of real analytic functions on โฆ1. We prove a Glaeser type theorem by characterizing when a composition operator Cฯ : Using this result we characterize when A(โฆ1) can be embedded topologically into A(โฆ2) as