Compactness of the solution operator to d-bar in weighted L^2 - spaces

Details Compactness of the solution operator to d-bar in weighted L^2 - spaces Compactness of the solution operator to d-bar in weighted L^2 - spaces

2006-07-03

arxiv.org/abs/math/0607048v1

Mathematics

Complex Variables

18 pages

Scientific paper

In this paper we discuss compactness of the canonical solution operator to
d-bar on weigthed L^2- spaces on C^n. For this purpose we apply ideas which
were used for the Witten Laplacian in the real case and various methods of
spectral theory of these operators. We also point out connections to the theory
of Dirac and Pauli operators.

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