Mass transportation proofs of free functional inequalities, and free Poincaré inequalities
نویسندگان
چکیده
منابع مشابه
Mass Transportation Proofs of Free Functional Inequalities, and Free Poincaré Inequalities
This work is devoted to direct mass transportation proofs of families of functional inequalities in the context of one-dimensional free probability, avoiding random matrix approximation. The inequalities include the free form of the transportation, Log-Sobolev, HWI interpolation and Brunn-Minkowski inequalities for strictly convex potentials. Sharp constants and some extended versions are put f...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2009
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.03.011