Bao, Guanlong and Göğüş, Nihat Gökhan (2019) On the closures of Dirichlet type spaces in the Bloch space. Complex Analysis and Operator Theory, 13 (1). pp. 45-59. ISSN 1661-8254 (Print) 1661-8262 (Online)
This is the latest version of this item.
Official URL: http://dx.doi.org/10.1007/s11785-017-0676-2
Abstract
In this paper, via high order derivatives and via embedding derivatives of Bloch type functions into Lebesgue spaces, we characterize the closures of Dirichlet type spaces in the Bloch space. We obtain the inclusion relation between the closures and the little Bloch space. We consider the separability of the closures as Banach spaces. A criterion for an interpolating Blaschke product to be in the closures is given. We also consider the relation between the closures and the space of bounded analytic functions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | The Bloch space; Dirichlet type spaces; Closure; Interpolating Blaschke product |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 27 Mar 2019 14:24 |
| Last Modified: | 16 May 2023 11:49 |
| URI: | https://research.sabanciuniv.edu/id/eprint/36897 |
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On the closures of Dirichlet type spaces in the Bloch space. (deposited 23 Aug 2017 14:56)
- On the closures of Dirichlet type spaces in the Bloch space. (deposited 27 Mar 2019 14:24) [Currently Displayed]
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