On sharp Sobolev-type inequalities for multidimensional Cauchy measures

DOI10.1515/9783110741711-008zbMath1498.60086OpenAlexW4293076074MaRDI QIDQ5093660

Cyril Roberto, Sergey G. Bobkov

Publication date: 29 July 2022

Published in: Geometric Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110741711-008

zbMATH Keywords

Fisher informationSobolev-type inequalitiesRényi entropyCauchy measures

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Special processes (60K99) Distribution theory (60E99) Limit theorems in probability theory (60F99) Statistical aspects of fuzziness, sufficiency, and information (62B86)

Related Items (1)

Improved log-concavity for rotationally invariant measures of symmetric convex sets

This page was built for publication: On sharp Sobolev-type inequalities for multidimensional Cauchy measures