Abstract
We consider some Sobolev-type spaces and obtain a necessary and sufficient condition for their embedding in a Lebesgue space.
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Prokhorov, D.V., Stepanov, V.D. On Inequalities with Measures of Sobolev Type Embedding Theorems on Open Sets of the Real Axis. Siberian Mathematical Journal 43, 694–707 (2002). https://doi.org/10.1023/A:1016380420615
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DOI: https://doi.org/10.1023/A:1016380420615