On dimension-free integrability improvement for Sobolev embeddings

M. Krbec^a, H.-J. Schmeisser<sup>b

a</sup> Institute of Mathematics, Academy of Sciences, Praha, Czech Republic
^b Mathematisches Institut, Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Jena, Germany

Abstract: We survey recent dimension-invariant embedding theorems for Sobolev spaces.

Keywords and phrases: Sobolev space, embedding theorem, uncertainty principle, best constants for embeddings, logarithmic Lebesgue space.

MSC: Primary 46E35; Secondary 46E30

Received: 07.10.2011

Language: English

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