Differences of products of the extended Cesàro and composition operators from \(F(p, q, s)\) space to \(\mu\)-Bloch type space on the unit ball (Q2834173)
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scientific article; zbMATH DE number 6656669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differences of products of the extended Cesàro and composition operators from \(F(p, q, s)\) space to \(\mu\)-Bloch type space on the unit ball |
scientific article; zbMATH DE number 6656669 |
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25 November 2016
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differences
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product
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generalized Cesàro operators
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composition operators
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\(F(p, q, s)\) spaces, \(\mu\)-Bloch type space
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Differences of products of the extended Cesàro and composition operators from \(F(p, q, s)\) space to \(\mu\)-Bloch type space on the unit ball (English)
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This article investigates the boundedness and compactness of differences of products of generalized Cesàro operators and composition operators when acting from a space of type \(F(p,q,s)\) into a \(\mu\)-Bloch type space of analytic functions on the unit ball of \(\mathbb{C}^n\). Here, \(0 < p,s < \infty\), \(-n-1 < q < \infty\) and \(\mu\) is a radial, normal weight. Asymptotically equivalent expressions of the essential norms of the differences are also obtained.
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