Functional Analysis and Applications Seminar 

11/03/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Yoshihiro Mizuta, Hiroshima University, Japan

Sobolev's inequality on Musielak-Orlicz-Morrey spaces

Our aim in this talk is to deal with the boundedness of the Hardy-Littlewood maximal operator on Musielak-Orlicz-Morrey spaces. As an application of the boundedness of the maximal operator, we establish Sobolev's inequality for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces.