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

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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.
18 pages

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Complex Variables, Analysis of PDEs, 32W05; 35J10; 35P05

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http://salesiana.dossiersoluciones.com/handle/123456789/114121

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607048
 http://arxiv.org/abs/math/0607048

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arXiv