Resumen de Nonlinear bessel potentials and generalizations of the kato class

René Erlín Castillo

• 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.