Browsing Cornell Theses and Dissertations by Author "Ugurcan, Baris"

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$L^P$-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs

Ugurcan, Baris (2014-08-18)

We define a suitable trace space on the set X halving the Sierpinski Gasket, then we prove Lp -estimates for p > 1 for the restriction operator on domLp [INCREMENT](SG). We also construct a right inverse to the restriction ...