The essential norm of a composition operator mapping into Qk type spaces
An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/428910 |
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| _version_ | 1832548159357714432 |
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| author | Marko Kotilainen Jouni Rättyä |
| author_facet | Marko Kotilainen Jouni Rättyä |
| author_sort | Marko Kotilainen |
| collection | DOAJ |
| description | An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition. |
| format | Article |
| id | doaj-art-ec55c6e91a5d449da0839ed148a0b530 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ec55c6e91a5d449da0839ed148a0b5302025-02-03T06:42:13ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016324125810.1155/2008/428910The essential norm of a composition operator mapping into Qk type spacesMarko Kotilainen0Jouni Rättyä1University of Joensuu, Department of Mathematics, P.O. Box 111, 80101 Joensuu, FinlandUniversity of Joensuu, Department of Mathematics, P.O. Box 111, 80101 Joensuu, FinlandAn asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition.http://dx.doi.org/10.1155/2008/428910 |
| spellingShingle | Marko Kotilainen Jouni Rättyä The essential norm of a composition operator mapping into Qk type spaces Journal of Function Spaces and Applications |
| title | The essential norm of a composition operator mapping into Qk type spaces |
| title_full | The essential norm of a composition operator mapping into Qk type spaces |
| title_fullStr | The essential norm of a composition operator mapping into Qk type spaces |
| title_full_unstemmed | The essential norm of a composition operator mapping into Qk type spaces |
| title_short | The essential norm of a composition operator mapping into Qk type spaces |
| title_sort | essential norm of a composition operator mapping into qk type spaces |
| url | http://dx.doi.org/10.1155/2008/428910 |
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