Göğüş, Nihat Gökhan (2022) Projective limits of Dirichlet spaces and embeddings of Bloch-type spaces. Annals of Functional Analysis, 13 (3). ISSN 2639-7390 (Print) 2008-8752 (Online)
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Official URL: https://dx.doi.org/10.1007/s43034-022-00193-6
Abstract
In this paper, we prove that the projective limit of a certain class of Dirichlet-type spaces is isomorphic to the Bloch-type spaces Bα. We provide a complete characterization of bounded or compact embeddings of Bα into a family of Lebesgue spaces by the derivative operator. As an application, we prove precise necessary and sufficient criteria for boundedness/compactness of the generalized composition operators. The Dirichlet-type intermediate spaces constructed in this paper serve very useful.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bloch-type spaces; Composition operators; Embeddings; Möbius invariant function spaces; Projective limits |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 21 Aug 2022 15:18 |
| Last Modified: | 21 Aug 2022 15:18 |
| URI: | https://research.sabanciuniv.edu/id/eprint/44235 |
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