An index theorem for quotients of Bergman spaces on egg domains

Abstract

In this paper we prove a $K$-homology index theorem for the Toeplitz operators obtained from the multishifts of the Bergman space on several classes of egg-like domains. This generalizes our theorem with Douglas and Yu on the unit ball.

References in corpus (3)

• p-Summable Commutators in Dimension d
• Essentially Reductive Hilbert Modules II
• Stable polynomial division and essential normality of graded Hilbert modules