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We give an “elementary” proof of an inequality due to Maz’ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations between… Click to show full abstract
We give an “elementary” proof of an inequality due to Maz’ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations between Maz’ya’s inequality, the isoperimetric inequality, and the Sobolev inequality.
Keywords:
inequality due;
hausdorff measure;
measure inequality;
due maz;
inequality
Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
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Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!