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math.FA2019
Sobolev Anisotropic inequalities with monomial weights
Filomena Feo, Joaquim Martín, MRosaria Posteraro
We derive some anisotropic Sobolev inequalities in with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain…
math.FA2015★ 1 cited
Remark on the stability of Log-Sobolev inequality for Gaussian measure
Filomena Feo, Maria Rosaria Posteraro, Cyril Roberto
In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a d…