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arXiv · 1303.4609

$L^p$-theory for the tangential Cauchy-Riemann equation

Christine Laurent-Thiébaut
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Abstract

We are interested in $L^p$-theory for the tangential Cauchy-Riemann operator in locally embeddable, $s$-concave, generic CR manifolds. We study the Dolbeault isomorphism and develop the Andreotti-Grauert theory in that setting. Using Serre duality, we solve the tangential Cauchy-Riemann equation with exact support and $L^p$-estimates.

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BibTeXRIS

Christine Laurent-Thiébaut. 2013-03-19. $L^p$-theory for the tangential Cauchy-Riemann equation. https://arxiv.org/abs/1303.4609

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