The boundedness of the Riesz transform on a metric cone
In this thesis we study the boundedness, on L-p spaces, of the Riesz transform associated to a Schroedinger operator with an inverse square potential on a metric cone of dimension greater or equal to 3. The definition of the Riesz transform involves the Laplacian on the cone. However, the cone is not a manifold at the cone tip, so we initially define the Laplacian away from the cone tip, and then consider its self-adjoint extensions. The Friedrichs extension is adopted as the definition...[Show more]
|Collections||Open Access Theses|
|01Front_Lin.pdf||Front Matter||1.15 MB||Adobe PDF|
|02Whole_Lin.pdf||Whole Thesis||1.69 MB||Adobe PDF|
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