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The boundedness of the Riesz transform on a metric cone

Lin, Peijie


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]

CollectionsOpen Access Theses
Date published: 2013-05-06
Type: Thesis (PhD)


File Description SizeFormat Image
01Front_Lin.pdfFront Matter1.15 MBAdobe PDFThumbnail
02Whole_Lin.pdfWhole Thesis1.69 MBAdobe PDFThumbnail

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