Compactness for the ∂ -Neumann problem: a functional analysis approach

• Autores: Friedrich Haslinger
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 2, 2011, págs. 121-129
• Idioma: inglés
• DOI: 10.1007/s13348-010-0013-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • We characterize compactness of the {\overline{\partial}}-Neumann operator for a smoothly bounded pseudoconvex domain and in the setting of weighted L^2-spaces on {\mathbb{C}^n}. For this purpose we use a description of relatively compact subsets of L^2-spaces. We also point out how to use this method to show that property (P) implies compactness for the {\overline{\partial}}-Neumann operator on a smoothly bounded pseudoconvex domain.

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