Lattice Homomorphisms between Sobolev Spaces

Abstract

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 $u$.

25 pages

References in corpus (1)

• The Relative Capacity