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arxiv: math/9610202 · v1 · submitted 1996-10-11 · 🧮 math.CV

Sharp Lipschitz estimates for operator dbar_M on a q-concave CR manifold

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keywords boldestimateslipschitzmanifoldpartialq-concavesharpadmit
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We prove that the integral operators $R_r$ and $H_r$ constructed in \cite{P} and such that $$f = \bar\partial_{\bold M} R_r(f) + R_{r+1}(\bar\partial_{\bold M} f) + H_r(f),$$ for a differential form $f \in C_{(0,r)}^{\infty}({\bold M})$ on a regular q-concave CR manifold ${\bold M}$ admit sharp estimates in the Lipschitz scale.

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