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Solvability of the \(\bar\partial\) problem with \(C^\infty\) regularity up to the boundary on wedges of \(\mathbb{C}^N\)

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Publication:1972837
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DOI10.1007/BF02810593zbMath0953.32028MaRDI QIDQ1972837

Giuseppe Zampieri

Publication date: 22 January 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

oscillatorswedgeweak \(q\)-pseudoconvexity\(\overline \partial \) operator


Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)


Related Items

Non-subelliptic estimates for the tangential Cauchy-Riemann system ⋮ A general estimate for the \(\bar \partial\)-Neumann problem ⋮ Boundary regularity for \(\bar{\partial}\) on \(q\)-pseudoconvex wedges of \(\mathbb C^{N}\)



Cites Work

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  • \(L^2\)-estimates with Levi-singular weight, and existence for \(\overline{\partial}\)
  • Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
  • Simple sheaves along dihedral Lagrangians
  • \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
  • EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
  • Théorèmes de finitude pour la cohomologie des espaces complexes
  • REGULARITY AT THE BOUNDARY OF THE δ-NEUMANN PROBLEM
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