Date: Oct 13, 2011, time: 08:30
Place: Centro De Giorgi, Scuola Normale Superiore
Abstract. It is well known that the Sobolev spaces play an important role in analysis on metric measure spaces. In this talk, we present some characterizations of Hajlasz-Sobolev spaces on metric measure spaces via grand Littlewood-Paley functions and also the pointwise characterization of Besov spaces, Triebel-Lizorkin spaces, Newton-Besov and Newton-Triebel-Lizorkin spaces on metric measure spaces.