Multiplicative isometries on classes \(M^p(X)\) of holomorphic functions (Q490937)
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scientific article; zbMATH DE number 6474842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative isometries on classes \(M^p(X)\) of holomorphic functions |
scientific article; zbMATH DE number 6474842 |
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Multiplicative isometries on classes \(M^p(X)\) of holomorphic functions (English)
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21 August 2015
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Summary: In [J. Funct. Spaces Appl. 2013, Article ID 681637, 3 p. (2013; Zbl 1279.46035)], the authors described multiplicative (but not necessarily linear) isometries of \(M^p(X)\) onto \(M^p(X)\) in the case of a positive integer \(p\in \mathbb N\), where \(M^p(X)\) \((p\geq 1)\) is included in the Smirnov class \(N_{\ast}(X)\). In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents \(0<p<\infty\).
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isometries
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Smirnov class
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