Subellipticity of the ∂-Neumann problem on a weakly q-pseudoconvex/concave domain

2008/04/18 by Tran Vu Khanh, Khanh, Tran Vu, Giuseppe Zampieri +1 · 1 citation
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.0804.3112

Abstract

For a domain D of ℂⁿ which is weakly q-pseudoconvex or q-pseudoconcave we give a sufficient condition for subelliptic estimates for the ∂-Neumann problem. The paper extends to domains which are not necessarily pseudoconvex, the results and the techniques of Catlin. MSC: 32D10, 32U05, 32V25

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