Approximation des fonctions lisses sur certaines laminations
英文摘要:
We show that on a Riemann surface lamination locally embedded in $\mathbb{C}^2$, $C^1$ functions (in the sense of the $C^1$ structure of the lamination) are uniform limits of ambient $C^1$ functions, with $L^p$ control on the derivatives along the leaves. This implies that locally in $C^2$, a (1,1) positive closed current dominated by a uniformly laminar current is itself uniformly laminar.
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