Théorie $L^p$ pour l'équation de Cauchy-Riemann

Christine Laurent-Thiébaut

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arXiv · 1301.1611

Théorie $L^p$ pour l'équation de Cauchy-Riemann

Christine Laurent-Thiébaut

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Abstract

In this paper we propose a systematic study of the Cauchy-Riemann operator in the $L^p$-setting in complex manifolds. We first consider $L^p_{loc}$-theory and then we develop an $L^p$ Andreotti-Grauert theory. Finally we consider Serre duality and its applications to the solvability of the Cauchy-Riemann equation with exact support in $L^p$-spaces.

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BibTeX RIS

Christine Laurent-Thiébaut. 2013-01-08. Théorie $L^p$ pour l'équation de Cauchy-Riemann. https://arxiv.org/abs/1301.1611

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