Inequalities Involving Essential Norm Estimates of Product-Type Operators
Consider an open unit disk D=z∈ℂ:z<1 in the complex plane ℂ, ξ a holomorphic function on D, and ψ a holomorphic self-map of D. For an analytic function f, the weighted composition operator is denoted and defined as follows: Wξ,ψfz=ξzfψz. We estimate the essential norm of this operator from Dirich...
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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/10.1155/2021/8811309 |
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| author | Manisha Devi Ajay K. Sharma Kuldip Raj |
| author_facet | Manisha Devi Ajay K. Sharma Kuldip Raj |
| author_sort | Manisha Devi |
| collection | DOAJ |
| description | Consider an open unit disk D=z∈ℂ:z<1 in the complex plane ℂ, ξ a holomorphic function on D, and ψ a holomorphic self-map of D. For an analytic function f, the weighted composition operator is denoted and defined as follows: Wξ,ψfz=ξzfψz. We estimate the essential norm of this operator from Dirichlet-type spaces to Bers-type spaces and Bloch-type spaces. |
| format | Article |
| id | doaj-art-0d88743959104de79c579d4a2fe018f2 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0d88743959104de79c579d4a2fe018f22025-08-20T03:54:20ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/88113098811309Inequalities Involving Essential Norm Estimates of Product-Type OperatorsManisha Devi0Ajay K. Sharma1Kuldip Raj2School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, IndiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, IndiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, IndiaConsider an open unit disk D=z∈ℂ:z<1 in the complex plane ℂ, ξ a holomorphic function on D, and ψ a holomorphic self-map of D. For an analytic function f, the weighted composition operator is denoted and defined as follows: Wξ,ψfz=ξzfψz. We estimate the essential norm of this operator from Dirichlet-type spaces to Bers-type spaces and Bloch-type spaces.http://dx.doi.org/10.1155/2021/8811309 |
| spellingShingle | Manisha Devi Ajay K. Sharma Kuldip Raj Inequalities Involving Essential Norm Estimates of Product-Type Operators Journal of Mathematics |
| title | Inequalities Involving Essential Norm Estimates of Product-Type Operators |
| title_full | Inequalities Involving Essential Norm Estimates of Product-Type Operators |
| title_fullStr | Inequalities Involving Essential Norm Estimates of Product-Type Operators |
| title_full_unstemmed | Inequalities Involving Essential Norm Estimates of Product-Type Operators |
| title_short | Inequalities Involving Essential Norm Estimates of Product-Type Operators |
| title_sort | inequalities involving essential norm estimates of product type operators |
| url | http://dx.doi.org/10.1155/2021/8811309 |
| work_keys_str_mv | AT manishadevi inequalitiesinvolvingessentialnormestimatesofproducttypeoperators AT ajayksharma inequalitiesinvolvingessentialnormestimatesofproducttypeoperators AT kuldipraj inequalitiesinvolvingessentialnormestimatesofproducttypeoperators |