中文

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

复变函数 2009-09-25 v1

摘要

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

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引用

@article{arxiv.math/9610202,
  title  = {Sharp Lipschitz estimates for operator dbar_M on a q-concave CR manifold},
  author = {Peter L. Polyakov},
  journal= {arXiv preprint arXiv:math/9610202},
  year   = {2009}
}