Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2015; 30(1): 23-34

Printed January 31, 2015

https://doi.org/10.4134/CKMS.2015.30.1.23

Copyright © The Korean Mathematical Society.

Spherical means and pinned distance sets

Daniel Oberlin and Richard Oberlin

Florida State University, Florida State University

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Abstract

We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.

Keywords: spherical averaging operator, Hausdorff dimension, pinned distance set

MSC numbers: 28E99

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