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arXiv · 2008.09278

Complete Sobolev Type Inequalities

Haojian Li
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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. 2020-08-21. Complete Sobolev Type Inequalities. https://arxiv.org/abs/2008.09278

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