Packing spheres and fractal Strichartz estimates in 
for 
Author:
Daniel M. Oberlin
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3201-3209
MSC (2000):
Primary 28A75, 35B45
DOI:
https://doi.org/10.1090/S0002-9939-06-08356-0
Published electronically:
May 11, 2006
MathSciNet review:
2231903
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We prove an estimate for the spherical average operator in 
if 
. This leads to a lower bound for the Hausdorff dimension of unions of certain collections of spheres and to a Strichartz-type estimate for solutions of the wave equation.
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for large 
, Geometric and Functional Analysis 10 (2000), 1237-1288. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 28A75, 35B45
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Additional Information
Daniel M. Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Email:
oberlin@math.fsu.edu
DOI:
https://doi.org/10.1090/S0002-9939-06-08356-0
Keywords:
Spherical averages,
Hausdorff dimension,
Strichartz estimate
Received by editor(s):
May 10, 2005
Published electronically:
May 11, 2006
Communicated by:
Michael T. Lacey
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
