Resumen de Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ps(t)

Beatriz Viviani, Silvia I. Hartzstein

• The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and TriebelLizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials t_, related to classical fractional integral and derivative operators and Besov and TriebelLizorkin spaces.