Sobolev L2 p-functions on closed subsets of R2,1
Speaker:
Pavel Shvartsman, Technion and Technion - Israel Institute of Technology
Date and Time:
Wednesday, August 29, 2012 - 1:30pm to 2:20pm
Abstract:
For each p > 2 we give intrinsic characterizations of the restriction of the homogeneous Sobolev space L2p (R2) to an arbitrary finite subset E of R2. The trace criterion is expressed in terms of certain weighted oscillations of the second order with respect to a measure generated by the Menger curvature of triangles with vertices in E.
