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arXiv:0805.4740 [math.AP]AbstractReferencesReviewsResources

Lattice Homomorphisms between Sobolev Spaces

Markus Biegert

Published 2008-05-30, updated 2008-07-17Version 4

We show that every vector lattice homomorphism $T$ between Sobolev spaces can be represented by a composition and a multiplication, that is, $T$ is of the form $Tu(x)=u(h(x))g(x)$ for quasi every/almost every $x$ and all $u$.

Comments: 25 pages
Categories: math.AP, math.FA
Subjects: 47B38, 47B65
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