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arXiv · 1409.2732

Sobolev inequalities and the d-bar-Neumann operator

Friedrich Haslinger
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Abstract

We study a complex valued version of the Sobolev inequalities and its relationship to compactness of the d-bar-Neumann operator. For this purpose we use an abstract characterization of compactness derived from a general description of precompact subsets in L^2-spaces. Finally we remark that the d-bar-Neumann operator can be continuously extended provided a subelliptic estimate holds.

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Friedrich Haslinger. 2014-09-09. Sobolev inequalities and the d-bar-Neumann operator. https://arxiv.org/abs/1409.2732

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