On the continuity of Bessel potentials in Orlicz spaces

• Autores: N. Aïssaoui
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 1, 1996, págs. 77-89
• Idioma: inglés
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• Resumen

  • It is shown that Bessel capacities in reflexive Orlicz spaces are non increasing under orthogonal projection of sets. This is used to get a continuity of potentials on some subspaces. The obtained results generalize those of Meyers and Reshetnyak in the case of Lebesgue classes.