On dimension-free integrability improvement for Sobolev embeddings

Miroslav Krbec

On dimension-free integrability improvement for Sobolev embeddings

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Authors

Miroslav Krbec

Keywords:

Sobolev space, embedding theorem, uncertainty principle, best constants for embeddings, logarithmic Lebesgue space

Abstract

We survey recent dimension-invariant embedding theorems for Sobolev spaces, focusing on the behavior of embedding constants with respect to the dimension.

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Published

2013-03-30

How to Cite

Krbec, M. (2013). On dimension-free integrability improvement for Sobolev embeddings. Eurasian Mathematical Journal, 4(1), 65–75. Retrieved from https://emj.enu.kz/index.php/main/article/view/500