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

Mathematics – Complex Variables

Scientific paper

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Scientific paper

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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