L2-Sobolev theory for the complex Green operator

DOI10.1142/S0129167X17400067zbMath1380.32036arXiv1606.00728OpenAlexW2963511798MaRDI QIDQ5365316

Emil J. Straube, Séverine Biard

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1606.00728

zbMATH Keywords

closed rangecomplex Green operatorCR-submanifold of hypersurface type\(\overline{\partial}_M\)

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type, The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues, The fundamental solution to \(\Box_b\) on quadric manifolds with nonzero eigenvalues and null variables, The Kohn-Laplace equation on abstract CR manifolds: Global regularity, The complex green operator with Sobolev estimates up to a finite order, Estimates for the complex Green operator: Symmetry, percolation, and interpolation, Compactness of the complex Green operator on non-pseudoconvex CR manifolds, A geometric approach to Catlin's boundary systems

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