An inverse Sobolev lemma

• Autores: Pekka Koskela
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 10, Nº 1, 1994, págs. 123-142
• Idioma: inglés
• DOI: 10.4171/rmi/147
• Títulos paralelos:
  • Un lema inverso de Sobolev.
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• Resumen

  • We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of Rn to the full range 0 < p < n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of Rn in terms of the growth of the mapping.