Isometric multiplication operators and weighted composition operators of BMOA
Abstract Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u , φ $M_{u,\varphi }$ are isometries of...
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SpringerOpen
2021-09-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-021-02689-6 |
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doaj-68ee88c5d1f149ca8678d561a6822fde2021-09-19T11:40:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-09-012021111010.1186/s13660-021-02689-6Isometric multiplication operators and weighted composition operators of BMOALigang Geng0School of Mathematics and Statistics, Chongqing Technology and Business UniversityAbstract Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u , φ $M_{u,\varphi }$ are isometries of BMOA.https://doi.org/10.1186/s13660-021-02689-6IsometricMultiplication OperatorWeighted Composition OperatorBMOA |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ligang Geng |
| spellingShingle |
Ligang Geng Isometric multiplication operators and weighted composition operators of BMOA Journal of Inequalities and Applications Isometric Multiplication Operator Weighted Composition Operator BMOA |
| author_facet |
Ligang Geng |
| author_sort |
Ligang Geng |
| title |
Isometric multiplication operators and weighted composition operators of BMOA |
| title_short |
Isometric multiplication operators and weighted composition operators of BMOA |
| title_full |
Isometric multiplication operators and weighted composition operators of BMOA |
| title_fullStr |
Isometric multiplication operators and weighted composition operators of BMOA |
| title_full_unstemmed |
Isometric multiplication operators and weighted composition operators of BMOA |
| title_sort |
isometric multiplication operators and weighted composition operators of bmoa |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2021-09-01 |
| description |
Abstract Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u , φ $M_{u,\varphi }$ are isometries of BMOA. |
| topic |
Isometric Multiplication Operator Weighted Composition Operator BMOA |
| url |
https://doi.org/10.1186/s13660-021-02689-6 |
| work_keys_str_mv |
AT liganggeng isometricmultiplicationoperatorsandweightedcompositionoperatorsofbmoa |
| _version_ |
1717375610001555456 |