Effective Brascamp-Lieb inequalities
Timoth\'ee B\'enard, Weikun He
TL;DR
This paper provides a practical upper bound for the Brascamp-Lieb constant related to a set of weighted linear transformations.
Contribution
It introduces an effective method to bound the Brascamp-Lieb constant, enhancing understanding of these inequalities.
Findings
Derived an explicit upper bound for the Brascamp-Lieb constant.
Applicable to weighted families of linear maps.
Improves computational approaches for Brascamp-Lieb inequalities.
Abstract
We establish an effective upper bound for the Brascamp-Lieb constant associated to a weighted family of linear maps.
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