Sobolev W1p-spaces on closed subsets of Rn
Abstract
For each p>n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space Wp1(Rn) to an arbitrary closed subset of Rn.
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For each p>n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space Wp1(Rn) to an arbitrary closed subset of Rn.