Spherical Means and Pinned Distance Sets
Daniel Oberlin, Richard Oberlin
TL;DR
This paper investigates the properties of pinned distance sets using advanced mixed norm estimates for the spherical averaging operator, contributing to the understanding of geometric measure theory.
Contribution
It introduces new mixed norm estimates for the spherical averaging operator and applies them to derive results about pinned distance sets.
Findings
Improved bounds on pinned distance sets
New estimates for spherical averaging operator
Enhanced understanding of geometric measure properties
Abstract
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
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