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Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation - MaRDI portal

Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation (Q1600165)

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scientific article; zbMATH DE number 1754798
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English
Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
scientific article; zbMATH DE number 1754798

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    Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation (English)
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    24 September 2002
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    \loadmsbm Combining the plurisubharmonicity properties of complex interpolation and Berndtsson's generalization of Prékopa's inequality the author obtains volume estimates for balls of \(\mathbb C^n\) for a large class of measures. As a particular case the author proves Santaló's inequality for balls of \(\mathbb C^n\).
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    Santaló's inequality
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    plurisubharmonicity
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    complex interpolation
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    volume estimates
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