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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… Click to show full 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 and Sobolev inequalities.
Keywords:
metric structure;
sobolev inequalities;
poincar sobolev;
quasi metric;
inequalities monge
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!