Moser inequalities in Gauss space

0531324 - MÚ 2021 RIV DE eng J - Journal Article
Cianchi, A. - Musil, Vít - Pick, L.
Moser inequalities in Gauss space.
Mathematische Annalen. Roč. 377, 3-4 (2020), s. 1265-1312. ISSN 0025-5831. E-ISSN 1432-1807
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : Moser inequalities * Gauss space
OECD category: Pure mathematics
Impact factor: 1.534, year: 2020
Method of publishing: Limited access
https://doi.org/10.1007/s00208-020-01956-z

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.
Permanent Link: http://hdl.handle.net/11104/0310001