Capacitary type estimates in strongly nonlinear potential theory and applications

• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 14, Nº 2, 2001, págs. 347-370
• Idioma: inglés
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• Resumen

  • In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobolev spaces is given and a capacitary type estimate is presented. We construct also a space of quasicontinuous functions and an alternative characterization of this space and a description of its dual are established. For the Riesz kernel Rm, we prove that operators of strong type (A, A), are also of capacitaries strong and weak types (m,A).