Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞
In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space t...
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/725145 |
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doaj-112d9eb9985b40679b472c1ba8d5c0592020-11-24T23:17:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/725145725145Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞Shanli Ye0Department of Mathematics, Fujian Normal University, Fuzhou 350007, ChinaIn this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space to Hμ∞.http://dx.doi.org/10.1155/2014/725145 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shanli Ye |
| spellingShingle |
Shanli Ye Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ Abstract and Applied Analysis |
| author_facet |
Shanli Ye |
| author_sort |
Shanli Ye |
| title |
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ |
| title_short |
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ |
| title_full |
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ |
| title_fullStr |
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ |
| title_full_unstemmed |
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ |
| title_sort |
norm and essential norm of composition followed by differentiation from logarithmic bloch spaces to hμ∞ |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space to Hμ∞. |
| url |
http://dx.doi.org/10.1155/2014/725145 |
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AT shanliye normandessentialnormofcompositionfollowedbydifferentiationfromlogarithmicblochspacestohm |
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