Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of we...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2016-10-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/786 |
| _version_ | 1798043284154613760 |
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| author | A. E. Shammaky M. A. Bakhit |
| author_facet | A. E. Shammaky M. A. Bakhit |
| author_sort | A. E. Shammaky |
| collection | DOAJ |
| description | In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes. |
| first_indexed | 2024-04-11T22:47:12Z |
| format | Article |
| id | doaj.art-592b8d0619fb4781a22a566d4b90f84b |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-04-11T22:47:12Z |
| publishDate | 2016-10-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-592b8d0619fb4781a22a566d4b90f84b2022-12-22T03:58:43ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-10-011228797198Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit BallA. E. Shammaky0M. A. Bakhit1Department of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi ArabiaIn this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.http://www.etamaths.com/index.php/ijaa/article/view/786 |
| spellingShingle | A. E. Shammaky M. A. Bakhit Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball International Journal of Analysis and Applications |
| title | Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball |
| title_full | Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball |
| title_fullStr | Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball |
| title_full_unstemmed | Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball |
| title_short | Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball |
| title_sort | properties of weighted composition operators on some weighted holomorphic function classes in the unit ball |
| url | http://www.etamaths.com/index.php/ijaa/article/view/786 |
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