Nonlinear Bessel potentials and generalizations of the Kato Class

We study the scale of function spaces Mp introduced by Zamboni. For these spaces, we get a characterization in terms of nonlinear Bessel potentials. This result is based on a known characterization of the Kato class Kn,s of order s in terms of Bessel potentials and the space of bounded uniformly con...

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Autor principal: Castillo,René Erlin
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300001
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spelling oai:scielo:S0716-091720110003000012012-06-18Nonlinear Bessel potentials and generalizations of the Kato ClassCastillo,René Erlin Kato class Bessel potentials nonlinear potential We study the scale of function spaces Mp introduced by Zamboni. For these spaces, we get a characterization in terms of nonlinear Bessel potentials. This result is based on a known characterization of the Kato class Kn,s of order s in terms of Bessel potentials and the space of bounded uniformly continuous functions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.3 20112011-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300001en10.4067/S0716-09172011000300001
institution Scielo Chile
collection Scielo Chile
language English
topic Kato class
Bessel potentials
nonlinear potential
spellingShingle Kato class
Bessel potentials
nonlinear potential
Castillo,René Erlin
Nonlinear Bessel potentials and generalizations of the Kato Class
description We study the scale of function spaces Mp introduced by Zamboni. For these spaces, we get a characterization in terms of nonlinear Bessel potentials. This result is based on a known characterization of the Kato class Kn,s of order s in terms of Bessel potentials and the space of bounded uniformly continuous functions.
author Castillo,René Erlin
author_facet Castillo,René Erlin
author_sort Castillo,René Erlin
title Nonlinear Bessel potentials and generalizations of the Kato Class
title_short Nonlinear Bessel potentials and generalizations of the Kato Class
title_full Nonlinear Bessel potentials and generalizations of the Kato Class
title_fullStr Nonlinear Bessel potentials and generalizations of the Kato Class
title_full_unstemmed Nonlinear Bessel potentials and generalizations of the Kato Class
title_sort nonlinear bessel potentials and generalizations of the kato class
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300001
work_keys_str_mv AT castilloreneerlin nonlinearbesselpotentialsandgeneralizationsofthekatoclass
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