[Inégalité de Santaló sur par interpolation complexe]
On donne une nouvelle approche de l'inégalité de Santaló en combinant l'interpolation complexe et la généralisation de l'inégalité de Prékopa obtenue par Berntdsson.
A new approach to Santaló's inequality on is obtained by combining complex interpolation and Berndtsson's generalization of Prékopa's inequality.
Accepté le :
Publié le :
Dario Cordero-Erausquin 1
@article{CRMATH_2002__334_9_767_0, author = {Dario Cordero-Erausquin}, title = {Santal\'o's inequality on $ \mathbb{C}^{n}$ by complex interpolation}, journal = {Comptes Rendus. Math\'ematique}, pages = {767--772}, publisher = {Elsevier}, volume = {334}, number = {9}, year = {2002}, doi = {10.1016/S1631-073X(02)02328-2}, language = {en}, }
Dario Cordero-Erausquin. Santaló's inequality on $ \mathbb{C}^{n}$ by complex interpolation. Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 767-772. doi : 10.1016/S1631-073X(02)02328-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02328-2/
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