Lattice Homomorphisms between Sobolev Spaces

Details Lattice Homomorphisms between Sobolev Spaces Lattice Homomorphisms between Sobolev Spaces

2008-05-30

arxiv.org/abs/0805.4740v4

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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 $u$.

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