This research develops novel Sobolev spaces and establishes embedding theorems for advanced mathematical analysis.
A scale of Sobolev-type spaces is constructed including classical Sobolev and Sobolev–Slobodetskii spaces, spaces consisting of Sobolev functions satisfying certain differential relations. This approach allows defining Sobolev spaces for functions defined on a topological space and to prove embedding theorems.
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N. N. Romanovskii (2025) studied this question.
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