We study the spectral theory of multiplication operators on a large class of Bergman type spaces (including the ordinary Bergman space, the Hardy space, the Dirichlet space, the Drury-Arveson space) on the unit ball. Problems considered include the spectrum, the essential spectrum, and the Fredholm index. The talk is based on recent joint work with Guangfu Cao and Li He.

Add:Building 58, The School of Mathematics, Tianjin University Beiyangyuan Campus,

No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC

Tel:022-60787827 Mail:math@tju.edu.cn