Publication details

Moser inequalities in Gauss space

Authors

CIANCHI Andrea MUSIL Vít PICK Luboš

Year of publication 2020
Type Article in Periodical
Magazine / Source Mathematische Annalen
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/s00208-020-01956-z
Description The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderline case of the Sobolev embedding in the Euclidean space. Interestingly, the Gaussian results have features in common with the Euclidean ones, but also reveal marked diversities.

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