On the Norm of Certain Weighted Composition Operators on the Hardy Space
We obtain a representation for the norm of certain compact weighted composition operator 𝐶𝜓,𝜑 on the Hardy space 𝐻2, whenever 𝜑(𝑧)=𝑎𝑧+𝑏 and 𝜓(𝑧)=𝑎𝑧−𝑏. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on 𝜑 and 𝜓. Moreover, w...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/720217 |
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| author | M. Haji Shaabani B. Khani Robati |
| author_facet | M. Haji Shaabani B. Khani Robati |
| author_sort | M. Haji Shaabani |
| collection | DOAJ |
| description | We obtain a representation for the norm of certain compact weighted
composition operator 𝐶𝜓,𝜑 on the Hardy space 𝐻2, whenever 𝜑(𝑧)=𝑎𝑧+𝑏 and 𝜓(𝑧)=𝑎𝑧−𝑏. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on 𝜑 and 𝜓. Moreover, we characterize the norm and essential norm of such operators in a special case. |
| format | Article |
| id | doaj-art-0e8247bd27924e9eb63b456e83464683 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e8247bd27924e9eb63b456e834646832025-02-03T05:48:08ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/720217720217On the Norm of Certain Weighted Composition Operators on the Hardy SpaceM. Haji Shaabani0B. Khani Robati1Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranWe obtain a representation for the norm of certain compact weighted composition operator 𝐶𝜓,𝜑 on the Hardy space 𝐻2, whenever 𝜑(𝑧)=𝑎𝑧+𝑏 and 𝜓(𝑧)=𝑎𝑧−𝑏. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on 𝜑 and 𝜓. Moreover, we characterize the norm and essential norm of such operators in a special case.http://dx.doi.org/10.1155/2009/720217 |
| spellingShingle | M. Haji Shaabani B. Khani Robati On the Norm of Certain Weighted Composition Operators on the Hardy Space Abstract and Applied Analysis |
| title | On the Norm of Certain Weighted Composition Operators on the Hardy Space |
| title_full | On the Norm of Certain Weighted Composition Operators on the Hardy Space |
| title_fullStr | On the Norm of Certain Weighted Composition Operators on the Hardy Space |
| title_full_unstemmed | On the Norm of Certain Weighted Composition Operators on the Hardy Space |
| title_short | On the Norm of Certain Weighted Composition Operators on the Hardy Space |
| title_sort | on the norm of certain weighted composition operators on the hardy space |
| url | http://dx.doi.org/10.1155/2009/720217 |
| work_keys_str_mv | AT mhajishaabani onthenormofcertainweightedcompositionoperatorsonthehardyspace AT bkhanirobati onthenormofcertainweightedcompositionoperatorsonthehardyspace |