Abstract
We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boulet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler estimates on complete manifolds.
Original language | English (US) |
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Pages (from-to) | 501-513 |
Number of pages | 13 |
Journal | International Journal of Mathematics |
Volume | 7 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 1996 |
All Science Journal Classification (ASJC) codes
- General Mathematics