Introduces Lebesgue W^{1,p}-extension domains and proves that any W^{1,p}-extension domain is Lebesgue for 1<p<∞, enabling reminiscent interpolation inequalities.
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Sobolev extensions, interpolation inequalities and consequences
Introduces Lebesgue W^{1,p}-extension domains and proves that any W^{1,p}-extension domain is Lebesgue for 1<p<∞, enabling reminiscent interpolation inequalities.