Stability of the Brascamp-Lieb constant and applications
classification
🧮 math.CA
keywords
brascamp-liebapplicationsconstantgeneralinequalityanalysisarisenbest
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We prove that the best constant in the general Brascamp-Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp-Lieb inequality which have arisen recently in harmonic analysis.
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