| Authors: | Stević, Stevo | Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Norm and essential norm of an integral-type operator from the logarithmic Bloch space to the Bloch-type space on the unit ball | Journal: | Mathematical Methods in the Applied Sciences | Volume: | 45 | Issue: | 17 | First page: | 11905 | Last page: | 11915 | Issue Date: | 2022 | Rank: | ~M21 | ISSN: | 0170-4214 | DOI: | 10.1002/mma.8487 | Abstract: | We calculate norm and essential norm of an integral-type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch-type spaces on the unit ball of Cn. We show that there is a one-parameter class of equivalent norms on the logarithmic Bloch space for which the norms can be calculated. |
Keywords: | Bloch-type space | essential norm | integral-type operator | logarithmic Bloch space | operator norm | unit ball | Publisher: | Wiley |
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