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- W2952134734 abstract "Let $Q$ be a first-order differential operator on a compact, smooth oriented Riemannian manifold with smooth boundary. Then, Friedrichs' extension lemma states that the minimal closed extension $Q_{min}$ (the closure of the graph) and the maximal closed extension $Q_{max}$ (in the sense of distributions) of $Q$ in $L^p$-spaces ($1leq p<infty$) coincide. In the present paper, we show that the same is true for boundary values with respect to $Q_{min}$ and $Q_{max}$. This gives a useful characterization of weak boundary values, particularly for $Q=d-bar$ the Cauchy-Riemann operator. As an application, we derive the Bochner-Martinelli-Koppelman formula for $L^p$-forms with weak d-bar-boundary values." @default.
- W2952134734 created "2019-06-27" @default.
- W2952134734 creator A5059407425 @default.
- W2952134734 date "2008-03-03" @default.
- W2952134734 modified "2023-09-27" @default.
- W2952134734 title "Friedrichs' extension lemma with boundary values and applications in complex analysis" @default.
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