Stević-Sharma type operators between Bergman spaces induced by doubling weights
Using Khinchin's inequality, Ger\(\check{\mbox{s}}\)gorin's theorem and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević-Sharma type operators from weighted Bergman spaces \(A_\omega^p\) to \(A_\mu^q\) and the sum of weighted differentiation com...
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Published in | arXiv.org |
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Main Authors | , , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
28.09.2023
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Subjects | |
Online Access | Get full text |
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Summary: | Using Khinchin's inequality, Ger\(\check{\mbox{s}}\)gorin's theorem and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević-Sharma type operators from weighted Bergman spaces \(A_\omega^p\) to \(A_\mu^q\) and the sum of weighted differentiation composition operators with different symbols from weighted Bergman spaces \(A_\omega^p\) to \(H^\infty\).The estimates of those between Bergman spaces remove all the restrictions of a result in [Appl. Math. Comput.,{\bf 217}(2011),8115--8125]. As a by-product, we also get an interpolation theorem for Bergman spaces induced by doubling weights. |
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ISSN: | 2331-8422 |