Integral Criteria for Weighted Bloch Functions
The present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ-Besov classes of analytic functions by the help of analytic ϖ-Bloch functions. Certain special functions significant in both ϖ-Besov-norms and ϖ-Bloch norms framework and to introdu...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9994532 |
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| author | A. El-Sayed Ahmed M. A. Bakhit |
| author_facet | A. El-Sayed Ahmed M. A. Bakhit |
| author_sort | A. El-Sayed Ahmed |
| collection | DOAJ |
| description | The present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ-Besov classes of analytic functions by the help of analytic ϖ-Bloch functions. Certain special functions significant in both ϖ-Besov-norms and ϖ-Bloch norms framework and to introduce new important families of analytic classes. Interesting motivation of this concerned paper is to construct some new analytic function classes of general ϖ-Besov-type spaces via integrals on concerned functions view points. The introduced analytic ϖ-Bloch and ϖ-Besov type of functions with some interesting properties for these classes of function spaces are established within the constructions of their norms. Using the defined analytic function spaces, various important relations are also derived. |
| format | Article |
| id | doaj-art-ecc54f803cd64940820c9dd97c93f252 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ecc54f803cd64940820c9dd97c93f2522025-08-20T02:22:06ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99945329994532Integral Criteria for Weighted Bloch FunctionsA. El-Sayed Ahmed0M. A. Bakhit1Mathematics Department, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaJazan University, Faculty of Science, Department of Mathematics, Jazan, Saudi ArabiaThe present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ-Besov classes of analytic functions by the help of analytic ϖ-Bloch functions. Certain special functions significant in both ϖ-Besov-norms and ϖ-Bloch norms framework and to introduce new important families of analytic classes. Interesting motivation of this concerned paper is to construct some new analytic function classes of general ϖ-Besov-type spaces via integrals on concerned functions view points. The introduced analytic ϖ-Bloch and ϖ-Besov type of functions with some interesting properties for these classes of function spaces are established within the constructions of their norms. Using the defined analytic function spaces, various important relations are also derived.http://dx.doi.org/10.1155/2021/9994532 |
| spellingShingle | A. El-Sayed Ahmed M. A. Bakhit Integral Criteria for Weighted Bloch Functions Journal of Mathematics |
| title | Integral Criteria for Weighted Bloch Functions |
| title_full | Integral Criteria for Weighted Bloch Functions |
| title_fullStr | Integral Criteria for Weighted Bloch Functions |
| title_full_unstemmed | Integral Criteria for Weighted Bloch Functions |
| title_short | Integral Criteria for Weighted Bloch Functions |
| title_sort | integral criteria for weighted bloch functions |
| url | http://dx.doi.org/10.1155/2021/9994532 |
| work_keys_str_mv | AT aelsayedahmed integralcriteriaforweightedblochfunctions AT mabakhit integralcriteriaforweightedblochfunctions |