Sobolev spaces for the weighted d-bar-Neumann operator

2017/07/17 by Friedrich Haslinger, Haslinger, Friedrich
Mathematics · #32W05 #35N15 #46E35 #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1707.05136

openalex publication_date 2017/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss compactness of the d-bar-Neumann operator in the setting of weighted L²-spaces on b Cⁿ. 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.

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