On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces
A Stevic′-Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. In this paper, we characterize the bounded and compact Stevic′-Sharma operator Tψ1,ψ2,φ from a general class X of Banach function spaces into Zygmund-type spaces w...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6467750 |
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| _version_ | 1832554692771577856 |
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| author | M. A. Bakhit A. Kamal |
| author_facet | M. A. Bakhit A. Kamal |
| author_sort | M. A. Bakhit |
| collection | DOAJ |
| description | A Stevic′-Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. In this paper, we characterize the bounded and compact Stevic′-Sharma operator Tψ1,ψ2,φ from a general class X of Banach function spaces into Zygmund-type spaces with some of the most convenient test functions on the open unit disk. Using several restrictive terms, we show that all bounded operators Tψ1,ψ2,φ from X into the little Zygmund-type spaces are compact. As an application, we show that our results hold up for some other domain spaces of Tψ1,ψ2,φ, such as the Hardy space and the weighted Bergman space. |
| format | Article |
| id | doaj-art-293e75b65d894a1d97a8efc04e0dc5f4 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-293e75b65d894a1d97a8efc04e0dc5f42025-02-03T05:50:41ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6467750On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type SpacesM. A. Bakhit0A. Kamal1Department of MathematicsDepartment of Mathematics and Computer ScienceA Stevic′-Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. In this paper, we characterize the bounded and compact Stevic′-Sharma operator Tψ1,ψ2,φ from a general class X of Banach function spaces into Zygmund-type spaces with some of the most convenient test functions on the open unit disk. Using several restrictive terms, we show that all bounded operators Tψ1,ψ2,φ from X into the little Zygmund-type spaces are compact. As an application, we show that our results hold up for some other domain spaces of Tψ1,ψ2,φ, such as the Hardy space and the weighted Bergman space.http://dx.doi.org/10.1155/2022/6467750 |
| spellingShingle | M. A. Bakhit A. Kamal On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces Journal of Function Spaces |
| title | On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces |
| title_full | On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces |
| title_fullStr | On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces |
| title_full_unstemmed | On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces |
| title_short | On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces |
| title_sort | on stevic sharma operators from general class of analytic function spaces into zygmund type spaces |
| url | http://dx.doi.org/10.1155/2022/6467750 |
| work_keys_str_mv | AT mabakhit onstevicsharmaoperatorsfromgeneralclassofanalyticfunctionspacesintozygmundtypespaces AT akamal onstevicsharmaoperatorsfromgeneralclassofanalyticfunctionspacesintozygmundtypespaces |