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BIRS Workshop Lecture Videos

L2-cohomology of annuli and Sobolev estimates for the ∂-bar problem Chakrabarti, Debraj


We consider the question of $L^2$-estimates for the $\overline{\partial}$-problem on annuli, a simple but interesting class of non-pseudoconvex domains. We relate this question with $W^1$-Sobolev estimates on the "hole" of the annulus. We then consider special classes of non-smooth holes for which the questions can be answered. This is joint work with Mei-Chi Shaw and Christine Laurent-Thiébaut.

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