Petty's projection inequality and Santalo's affine isoperimetric inequality |
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| Authors: | Micheal Schmuckenschläger |
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| Affiliation: | (1) Weizmann Institute of Science Rehovot, Israel and Mathematisches Seminar Universität Kiel, Germany;(2) J. Kepler Universität Linz, Austria |
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| Abstract: | Using results of K. Kiener and the Riesz-Sobolev convolution inequality we give a new proof of Petty's projection inequality. By the same method we also obtain a proof of Santalo's affine isoperimetric inequality.Supported in part by BSF and Erwin Schrödinger Auslandsstipendium J0630, J0804. |
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| Keywords: | 52A20 |
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