Euclidean Forward–Reverse Brascamp–Lieb Inequalities: Finiteness, Structure, and Extremals
Abstract A new proof is given for the fact that centered Gaussian functions saturate the Euclidean forward–reverse Brascamp–Lieb inequalities, extending the Brascamp–Lieb and Barthe theorems. A duality principle for best constants is also developed, which generalizes the fact that the...
Main Authors: | Courtade, Thomas A, Liu, Jingbo |
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Other Authors: | Massachusetts Institute of Technology. Institute for Data, Systems, and Society |
Format: | Article |
Language: | English |
Published: |
Springer US
2021
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Online Access: | https://hdl.handle.net/1721.1/132089 |
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