English

Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces

Complex Variables 2009-03-11 v1 Analysis of PDEs

Abstract

In this paper we discuss compactness estimates for the ˉ\bar \partial -Neumann problem in the setting of weighted L2L^2-spaces on Cn.\mathbb{C}^n. For this purpose we use a version of the Rellich - Lemma for weighted Sobolev spaces.

Keywords

Cite

@article{arxiv.0903.1783,
  title  = {Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces},
  author = {Klaus Gansberger and Friedrich Haslinger},
  journal= {arXiv preprint arXiv:0903.1783},
  year   = {2009}
}

Comments

14 pages, Proccedings of the Conference on Complex Analysis 2008, in honour of Linda Rothschild, to appear

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