English

Sobolev spaces for the weighted d-bar-Neumann operator

Complex Variables 2017-07-18 v1

Abstract

We discuss compactness of the d-bar-Neumann operator in the setting of weighted L^2-spaces on b C^n. In addition we describe an approach to obtain the compactness estimates for the d-bar-Neumann operator. For this purpose we have to define appropriate weighted Sobolev spaces and prove an appropriate Rellich - Kondrachov lemma.

Keywords

Cite

@article{arxiv.1707.05136,
  title  = {Sobolev spaces for the weighted d-bar-Neumann operator},
  author = {Friedrich Haslinger},
  journal= {arXiv preprint arXiv:1707.05136},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T20:48:59.674Z