Moser inequalities in Gauss space

0531324 - MÚ 2021 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA18-00580S
Institucionální podpora: RVO:67985840
Klíčová slova: Moser inequalities * Gauss space
Obor OECD: Pure mathematics
Impakt faktor: 1.534, rok: 2020
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0310001