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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| Language: | English |
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University of British Columbia
2015
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| Online Access: | http://hdl.handle.net/2429/54044 |