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RESEARCH PRODUCT

Removable sets for Sobolev spaces

Pekka Koskela

subject

Sobolev spaceHyperplaneGeneral MathematicsMathematical analysisSobolev spaces for planar domainsMathematicsSobolev inequality

description

We study removable sets for the Sobolev space W1,p. We show that removability for sets lying in a hyperplane is essentially determined by their thickness measured in terms of a concept of p-porosity.

https://doi.org/10.1007/bf02412216