Integrability of optimal mappings
From MaRDI portal
Publication:881139
DOI10.1007/s11006-006-0170-zzbMath1124.28002OpenAlexW1973028566MaRDI QIDQ881139
Publication date: 21 May 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11006-006-0170-z
logarithmic Sobolev inequalitytransportation inequalityinfimum-convolution inequalityMonge-Kantorovich variational problem
Contents, measures, outer measures, capacities (28A12) Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities involving derivatives and differential and integral operators (26D10) Systems of functional equations and inequalities (39B72)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities
- On quadratic transportation cost inequalities
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- The geometry of optimal transportation
- Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
- Probability distance inequalities on Riemannian manifolds and path spaces.
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Hypercontractivity of Hamilton-Jacobi equations.
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
- Existence and uniqueness of monotone measure-preserving maps
- Transportation cost for Gaussian and other product measures
- Modified logarithmic Sobolev inequalities and transportation inequalities
- Polar factorization and monotone rearrangement of vector‐valued functions
- Logarithmic Sobolev Inequalities
- Entropy bounds and isoperimetry