Abstract
In this paper, we establish the Brascamp-Lieb inequality for positive double John basis and its reverse. As their applications, we estimate the upper and lower bounds for the volume product of two unit balls with the given norms. Moreover, the Loomis-Whitney inequality for positive double John basis is obtained.
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Li, AJ., Leng, G. Brascamp-Lieb inequality for positive double John basis and its reverse. Sci. China Math. 54, 399–410 (2011). https://doi.org/10.1007/s11425-010-4093-5
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DOI: https://doi.org/10.1007/s11425-010-4093-5
Keywords
- Brascamp-Lieb inequality and its reverse
- John basis
- positive double John basis
- mass transportation
- zonotope