Complete Sobolev Type Inequalities

Published 21 Aug 2020 in math.DG, math-ph, math.FA, math.MP, and math.PR | (2008.09278v1)

Abstract: We establish Sobolev type inequalities in the noncommutative settings by generalizing monotone metrics in the space of quantum states, such as matrix-valued Beckner inequalities. We also discuss examples such as random transpositions and Bernoulli-Laplace models.

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Haojian Li

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