Composition-Differentiation Operator on the Bergman Space
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of Dψ whenev...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mathyze Publishers
2023-12-01
|
| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850121841788583936 |
|---|---|
| author | K. O. Aloo J. O. Bonyo I. Okello |
| author_facet | K. O. Aloo J. O. Bonyo I. Okello |
| author_sort | K. O. Aloo |
| collection | DOAJ |
| description | We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of Dψ whenever ψ is self analytic map of the unit disk D. |
| format | Article |
| id | doaj-art-a18f0728dd6845fe96cfd6119be191f2 |
| institution | OA Journals |
| issn | 2832-4293 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-a18f0728dd6845fe96cfd6119be191f22025-08-20T02:34:59ZengMathyze PublishersPan-American Journal of Mathematics2832-42932023-12-012010.28919/cpr-pajm/2-1837Composition-Differentiation Operator on the Bergman SpaceK. O. Aloo0J. O. BonyoI. OkelloTom Mboya UniversityWe investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of Dψ whenever ψ is self analytic map of the unit disk D.https://mathyze.com/index.php/pajm/article/view/138 |
| spellingShingle | K. O. Aloo J. O. Bonyo I. Okello Composition-Differentiation Operator on the Bergman Space Pan-American Journal of Mathematics |
| title | Composition-Differentiation Operator on the Bergman Space |
| title_full | Composition-Differentiation Operator on the Bergman Space |
| title_fullStr | Composition-Differentiation Operator on the Bergman Space |
| title_full_unstemmed | Composition-Differentiation Operator on the Bergman Space |
| title_short | Composition-Differentiation Operator on the Bergman Space |
| title_sort | composition differentiation operator on the bergman space |
| url | https://mathyze.com/index.php/pajm/article/view/138 |
| work_keys_str_mv | AT koaloo compositiondifferentiationoperatoronthebergmanspace AT jobonyo compositiondifferentiationoperatoronthebergmanspace AT iokello compositiondifferentiationoperatoronthebergmanspace |