Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A note on the distance set problem in the plane

Author: Themis Mitsis
Journal: Proc. Amer. Math. Soc. 130 (2002), 1669-1672
MSC (2000): Primary 28A12, 28A78
Published electronically: October 12, 2001
MathSciNet review: 1887013
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We use a simple geometric-combinatorial argument to establish a quantitative relation between the generalized Hausdorff measure of a set and its distance set, extending a result originally due to Falconer.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 28A12, 28A78

Retrieve articles in all journals with MSC (2000): 28A12, 28A78

Additional Information

Themis Mitsis
Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland
Address at time of publication: Nestou 6, Athens 14342, Greece

Received by editor(s): November 21, 2000
Published electronically: October 12, 2001
Additional Notes: This research has been supported by a Marie Curie Fellowship of the European Community programme “Improving human potential and the socio-economic knowledge base" under contract number HPMFCT-2000-00442.
Communicated by: David Preiss
Article copyright: © Copyright 2001 American Mathematical Society