Photo from wikipedia
Abstract In this paper, we prove a reciprocal relationship between the Hausdorff h-measure and the density of the thinnest covering of R n by translates of the unit ball. More… Click to show full abstract
Abstract In this paper, we prove a reciprocal relationship between the Hausdorff h-measure and the density of the thinnest covering of R n by translates of the unit ball. More precisely, we will prove μ h ( C ) = 1 ϑ ( B 1 ( 0 ) ) for each compact set C of positive Lebesgue measure, where ϑ ( B 1 ( 0 ) ) denotes the density of the thinnest covering of R n by translates of the unit ball B 1 ( 0 ) .
Keywords:
hausdorff measure;
thinnest covering;
density thinnest;
relationship hausdorff
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!
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!