Q_K-Type Spaces of Quaternion-Valued Functions
In this paper we develop the necessary tools to generalize the Q_K-type function classes to the case of the monogenic functions defined in the unit ball of R^3, some important basic properties of these functions are also considered. Further, we show some relations between Q_K(p,q) and α-Bloch spaces...
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2018-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1607 |
| _version_ | 1818909732013867008 |
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| author | M.A. Bakhit |
| author_facet | M.A. Bakhit |
| author_sort | M.A. Bakhit |
| collection | DOAJ |
| description | In this paper we develop the necessary tools to generalize the Q_K-type function classes to the case of the monogenic functions defined in the unit ball of R^3, some important basic properties of these functions are also considered. Further, we show some relations between Q_K(p,q) and α-Bloch spaces of quaternion-valued functions. |
| first_indexed | 2024-12-19T22:31:35Z |
| format | Article |
| id | doaj.art-e616b244c5e04f668a63473ed03c8233 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-19T22:31:35Z |
| publishDate | 2018-05-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-e616b244c5e04f668a63473ed03c82332022-12-21T20:03:20ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-05-01163445453315Q_K-Type Spaces of Quaternion-Valued FunctionsM.A. Bakhit0Department of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi ArabiaIn this paper we develop the necessary tools to generalize the Q_K-type function classes to the case of the monogenic functions defined in the unit ball of R^3, some important basic properties of these functions are also considered. Further, we show some relations between Q_K(p,q) and α-Bloch spaces of quaternion-valued functions.http://etamaths.com/index.php/ijaa/article/view/1607 |
| spellingShingle | M.A. Bakhit Q_K-Type Spaces of Quaternion-Valued Functions International Journal of Analysis and Applications |
| title | Q_K-Type Spaces of Quaternion-Valued Functions |
| title_full | Q_K-Type Spaces of Quaternion-Valued Functions |
| title_fullStr | Q_K-Type Spaces of Quaternion-Valued Functions |
| title_full_unstemmed | Q_K-Type Spaces of Quaternion-Valued Functions |
| title_short | Q_K-Type Spaces of Quaternion-Valued Functions |
| title_sort | q k type spaces of quaternion valued functions |
| url | http://etamaths.com/index.php/ijaa/article/view/1607 |
| work_keys_str_mv | AT mabakhit qktypespacesofquaternionvaluedfunctions |