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Generalization of inequalities by carmichael and mason and by parodi

✍ Scribed by J. Vot'oria

Book ID
105519630
Publisher
Springer Vienna
Year
1979
Tongue
English
Weight
99 KB
Volume
22
Category
Article
ISSN
0010-485X

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We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i