Restriction theorems and Salem sets

In the first part of this thesis, I prove the sharpness of the exponent range in the L² Fourier restriction theorem due to Mockenhaupt and Mitsis (with endpoint estimate due to Bak and Seeger) for measures on ℝ. The proof is based on a random Cantor-type construction of Salem sets due to Laba and Pr...

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Bibliographic Details
Main Author: Hambrook, Kyle David
Language:English
Published: University of British Columbia 2015
Online Access:http://hdl.handle.net/2429/54044