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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… Click to show full 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 1 - and C 2 -estimates for solutions to Monge-Ampere equations as well as Morrey-type inequalities with respect to monomial weights.
Keywords:
metric structure;
monge ampere;
inequalities monge;
quasi metric;
morrey inequalities
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!