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- W4300406725 abstract "Let $M^{2n+1}$ ($n geq 2$) be a compact pseudoconvex CR manifold of finite commutator type whose $dbarb$ has closed range in $L^2$ and whose Levi form has comparable eigenvalues. We prove a sharp $L^1$ Sobolev inequality for the $dbarb$ complex for $(0,q)$ forms when $q ne 1$ nor $n-1$. We also prove an analogous $L^1$ inequality when $M$ satisfies condition $Y(q)$. The main technical ingredient is a new kind of $L^1$ duality inequality for vector fields that satisfy Hormander's condition." @default.
- W4300406725 created "2022-10-03" @default.
- W4300406725 creator A5087336696 @default.
- W4300406725 date "2009-09-19" @default.
- W4300406725 modified "2023-09-27" @default.
- W4300406725 title "Sobolev inequalities for $(0,q)$ forms on CR manifolds of finite type" @default.
- W4300406725 doi "https://doi.org/10.48550/arxiv.0909.3598" @default.
- W4300406725 hasPublicationYear "2009" @default.
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