Sobolev Versus Homogeneous Sobolev II

Kavli Affiliate: Zheng Zhu

| First 5 Authors: Pekka Koskela, Pekka Koskela, , ,

| Summary:

We study the relationship between Sobolev extension domains and homogeneous
Sobolev extension domains. Precisely, for a certain range of exponents $p$ and
$q$, we construct a $(W^1, p, W^1, q)$-extension domain which is not an
$(L^1, p, L^1, q)$-extension domain.

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