Sobolev estimates for optimal transport maps on Gaussian spaces
classification
🧮 math.PR
keywords
dimensiongaussianmapsmeasureoptimalsobolevspacestransport
read the original abstract
We will study variations in Sobolev spaces of optimal transport maps with the standard Gaussian measure as the reference measure. Some dimension free inequalities will be obtained. As application, we construct solutions to Monge-Ampere equations in finite dimension, as well as on the Wiener space.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.