On the best constant for the Besicovitch covering theorem-Reference-Cited by-同舟云学术

On the best constant for the Besicovitch covering theorem

Published:1994 Issue:4 Volume:121 Page:1063-1073
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Füredi Zoltán,Loeb Peter A.

Abstract

This note shows that in terms of known proofs of the Besicovitch Covering Theorem, the best constant for that theorem is the maximum number of points that can be packed into a closed ball of radius 2 when the distance between pairs of points is at least 1 and one of the points is at the center of the ball. Exponential upper and lower bounds are also established.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-121-04/S0002-9939-1994-1249875-4/S0002-9939-1994-1249875-4.pdf

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