JournalsrlmVol. 31, No. 1pp. 249–267

Algebra and geometry of Sobolev embeddings

  • Augusto Visintin

    Università di Trento, Povo (Trento), Italy
Algebra and geometry of Sobolev embeddings cover

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Abstract

We recall the definition of Hölder, Sobolev and Slobodeckii spaces, review some of the classical embeddings, and disprove other statements via scaling arguments. We then provide an algebraic and geometric representation of these results.

Cite this article

Augusto Visintin, Algebra and geometry of Sobolev embeddings. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 249–267

DOI 10.4171/RLM/889