$L^2$ estimates for the $\bar \partial$ operator

Jeffery D. McNeal; Dror Varolin

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arXiv · 1502.08047

$L^2$ estimates for the $\bar \partial$ operator

Jeffery D. McNeal·Dror Varolin

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Abstract

This is a survey article about $L^2$ estimates for the $\bar \partial$ operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates for $\bar \partial$, to $L^2$ extension theorems, and to other problems in complex analysis and geometry, including invariant metric estimates and the $\bar \partial$-Neumann Problem.

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BibTeX RIS

Jeffery D. McNeal, Dror Varolin. 2015-02-27. $L^2$ estimates for the $\bar \partial$ operator. https://arxiv.org/abs/1502.08047

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