English

Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem

Complex Variables 2010-11-05 v1

Abstract

We show that a general estimate in the \dib\dib-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bounded family of weights.

Keywords

Cite

@article{arxiv.1011.1046,
  title  = {Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem},
  author = {T. V. Khanh and Giuseppe Zampieri},
  journal= {arXiv preprint arXiv:1011.1046},
  year   = {2010}
}