Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D. In this paper, we give upper and lower bounds for essential norm of weighted composition operator Wψ,φ acting from weighted B...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2696713 |
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| author | Elina Subhadarsini Ajay K. Sharma |
| author_facet | Elina Subhadarsini Ajay K. Sharma |
| author_sort | Elina Subhadarsini |
| collection | DOAJ |
| description | Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D. In this paper, we give upper and lower bounds for essential norm of weighted composition operator Wψ,φ acting from weighted Bergman spaces Apσ to Bloch-type spaces Bμ. |
| format | Article |
| id | doaj-art-29e6c0b14f1d42b9a8b4faa3105bcbe1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-29e6c0b14f1d42b9a8b4faa3105bcbe12025-02-03T05:52:31ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/26967132696713Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé WeightsElina Subhadarsini0Ajay K. Sharma1Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra 182320, IndiaDepartment of Mathematics, Central University of Jammu, Rahya-Suchani (Bagla) Samba, 181143 Jammu, J & K, IndiaLet σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D. In this paper, we give upper and lower bounds for essential norm of weighted composition operator Wψ,φ acting from weighted Bergman spaces Apσ to Bloch-type spaces Bμ.http://dx.doi.org/10.1155/2020/2696713 |
| spellingShingle | Elina Subhadarsini Ajay K. Sharma Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights Journal of Function Spaces |
| title | Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights |
| title_full | Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights |
| title_fullStr | Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights |
| title_full_unstemmed | Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights |
| title_short | Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights |
| title_sort | upper and lower bounds for essential norm of weighted composition operators from bergman spaces with bekolle weights |
| url | http://dx.doi.org/10.1155/2020/2696713 |
| work_keys_str_mv | AT elinasubhadarsini upperandlowerboundsforessentialnormofweightedcompositionoperatorsfrombergmanspaceswithbekolleweights AT ajayksharma upperandlowerboundsforessentialnormofweightedcompositionoperatorsfrombergmanspaceswithbekolleweights |