Proyecciones Journal of Mathematics Vol. 30, N^o 3, pp. 285-294, December 2011. Universidad Católica del Norte Antofagasta - Chile

 

Nonlinear Bessel potentials and generalizations of the Kato Class

 

René Erlin Castillo

Universidad Nacional de Colombia, Colombia

 

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ABSTRACT

We study the scale of function spaces M_p 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 K_n,s of order s in terms of Bessel potentials and the space of bounded uniformly continuous functions.

 

AMS Classification: 31C45.

Keywords :Kato class, Bessel potentials, nonlinear potential.

 

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REFERENCES

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René Erlín Castillo

Departamento de Matemáticas, Universidad Nacional de Colombia, Ciudad Universitaria: Carrera 30, Calle 45, Bogotá, Colombia

e-mail : recastillo@unal.edu.co

Received: January 2011. Accepted : November 2011