Shanzhen Lu

"Marcinkiewicz integral with rough kernels".

Abstract: In this talk, the author will introduce some recent progress 
in the theory of Marcinkiewicz integral. The author will pay more
attention to the case of rough kernels. It consists of six sections as
follows:

1. Introduction.
2. L^p boundedness.
3. Weighted L^p boundedness.
4. Boundedness on the other spaces.
5. Commutators generated by Marcinkiewicz integral.
6. Marcinkiewicz integral on product spaces.