Weighted estimates for the \\∂-Neumann problem on\n intersections of strictly pseudoconvex domains in \ℂ²

2019/04/23 by Dariush Ehsani, Ehsani, Dariush
Mathematics · #32W05 #35N15 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1904.10280

openalex publication_date 2019/04/23 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We obtain weighted estimates for the \\∂-Neumann operator on\nintersections of two smooth strictly pseudoconvex domains in \ℂ².\nThe regularity estimates are described with the use of Sobolev norms with\nweights which are powers of the defining functions of the two domains.\n

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