Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space
The boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0. An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a ch...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2016-11-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2016-0056 |
| _version_ | 1818307455651676160 |
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| author | Li Songxiao Stević Stevo |
| author_facet | Li Songxiao Stević Stevo |
| author_sort | Li Songxiao |
| collection | DOAJ |
| description | The boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0. An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator. |
| first_indexed | 2024-12-13T06:58:39Z |
| format | Article |
| id | doaj.art-f765fe18a1a948a69c0f125408bf935d |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:58:39Z |
| publishDate | 2016-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-f765fe18a1a948a69c0f125408bf935d2022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352016-11-0124322324010.1515/auom-2016-0056Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type spaceLi Songxiao0Stević Stevo1Department of Mathematics, Shantou University, 515063, Shantou, GuangDong, ChinaMathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaThe boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0. An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator.https://doi.org/10.1515/auom-2016-0056weighted differentiation composition operatorweighted-type spacelogarithmic bloch spaceboundednesscompactness.primary 47b38secondary 30h30. |
| spellingShingle | Li Songxiao Stević Stevo Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica weighted differentiation composition operator weighted-type space logarithmic bloch space boundedness compactness. primary 47b38 secondary 30h30. |
| title | Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space |
| title_full | Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space |
| title_fullStr | Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space |
| title_full_unstemmed | Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space |
| title_short | Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space |
| title_sort | weighted differentiation composition operators from the logarithmic bloch space to the weighted type space |
| topic | weighted differentiation composition operator weighted-type space logarithmic bloch space boundedness compactness. primary 47b38 secondary 30h30. |
| url | https://doi.org/10.1515/auom-2016-0056 |
| work_keys_str_mv | AT lisongxiao weighteddifferentiationcompositionoperatorsfromthelogarithmicblochspacetotheweightedtypespace AT stevicstevo weighteddifferentiationcompositionoperatorsfromthelogarithmicblochspacetotheweightedtypespace |