Pseudodifferential operators, Rellich-Kondrachov theorem and localizable Sobolev-Hardy spaces

Lundi 17 décembre 2018 15:00-16:00 - Tiago H. Picon - University of Sâo Paulo

Résumé : In this talk, we present a version of the Rellich-Kondrachov theorem for pseudodifferential operators acting on localizable Hardy spaces h^p(R^N).
Part of the techniques includes boundedness properties for pseudodifferential operators with symbols in the Hörmander class S^m_\rho,\delta(R^N) on h^p(R^N), extending results previously obtained by Goldberg, Alvarez and Hounie, Taylor — among others.
As application, we obtain compact embedding results for distributions in the nonhomogeneous localizable Sobolev-Hardy spaces h^\alpha,p_c(B).
This is joint work with Gustavo Hoepfner (UFSCar) and Rafael Kapp (UFSCar).

Lieu : IMO ; salle 3L8.

Pseudodifferential operators, Rellich-Kondrachov theorem and localizable Sobolev-Hardy spaces  Version PDF