Abstract
In this paper, the moment-entropy inequality for isotropic measures and the functional dual Loomis–Whitney inequality are established. These two inequalities are functional versions of geometric inequalities recently obtained by the authors (Li and Huang in Bull Lond Math Soc 48:676–690, 2016).
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Communicated by A. Constantin.
Qingzhong Huang was supported by the National Natural Science Foundation of China (Nos. 11701219 and 11626115). Ai-Jun Li was supported by NSFC-Henan Joint Fund (No. U1204102) and Key Research Project for Higher Education in Henan Province (No. 17A110022).
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Huang, Q., Li, AJ. Moment-entropy inequality for isotropic measures. Monatsh Math 187, 95–107 (2018). https://doi.org/10.1007/s00605-018-1212-9
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DOI: https://doi.org/10.1007/s00605-018-1212-9