Moser inequalities in Gauss space
- Resource Type
- Working Paper
- Authors
- Cianchi, Andrea; Musil, Vít; Pick, Luboš
- Source
- Mathematische Annalen 377 (2020), no. 3, 1265-1312
- Subject
- Mathematics - Functional Analysis
46E35, 28C20
- Language
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.
Comment: Accepted in Mathematische Annalen