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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Sumario: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.