Poincaré and Sobolev inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123969
Abstract: Abstract We establish a number of Poincare and Sobolev inequalities in the Monge-Ampere quasi-metric structure that are either new or significant improvements upon known ones. As applications we derive a host of new weighted Poincare… read more here.
Keywords: metric structure; sobolev inequalities; poincar sobolev; quasi metric ... See more keywords
Morrey inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124707
Abstract: Abstract Morrey-type inequalities within the Monge-Ampere quasi-metric structure are proved under various conditions on the underlying Monge-Ampere measure. A number of examples of convex functions satisfying the required assumptions are described. Applications include interior C… read more here.
Keywords: metric structure; monge ampere; inequalities monge; quasi metric ... See more keywords