On Nirenberg’s non-embeddable CR structure. (English) Zbl 1512.32011
Reviewer: Guokuan Shao (Zhuhai)
Found 38 Documents (Results 1–38)
Analysis on quadrics. (English) Zbl 1504.32095
The fundamental solution to \(\Box_b\) on quadric manifolds. I: General formulas. (English) Zbl 1487.32201
Compactness of the complex Green operator on non-pseudoconvex CR manifolds. (English) Zbl 1478.32121
The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\). (English) Zbl 1482.32031
Reviewer: Yunus E. Zeytuncu (Ann Arbor)
Top-degree global solvability in CR and locally integrable hypocomplex structures. (English) Zbl 1477.32060
Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type. (English) Zbl 1460.32086
The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms. (English) Zbl 1464.32060
The complex Green operator with Sobolev estimates up to a finite order. (English) Zbl 1462.32053
Reviewer: Yunus E. Zeytuncu (Ann Arbor)
Heat kernel asymptotics, local index theorem and trace integrals for Cauchy-Riemann manifolds with \(S^1\) action. (English. French summary) Zbl 1452.32043
Mém. Soc. Math. Fr., Nouv. Sér. 162, 1-139 (2019).
Baouendi-Trèves approximation theorem for CR functions with values in a complex Fréchet space. (English) Zbl 1300.32035
The tangential Cauchy-Riemann complex on the Heisenberg group via conformal invariance. (English) Zbl 1293.32042
Regularity results for \(\bar {\partial }_b\) on CR-manifolds of hypersurface type. (English) Zbl 1216.32025
Reviewer: Gerd Schmalz (Armidale)
Fundamental solutions and optimal estimates for the tangential Cauchy-Riemann operator. (Solutions fondamentales et estimations optimales pour l’opérateur de Cauchy-Riemann tangentiel.) (French) Zbl 1175.32021
Reviewer: Fritz Haslinger (Wien)
\({\mathcal C}^\infty\)-regularity of the tangential Cauchy-Riemann equations on Levi-flat submanifolds of \(\mathbb C^n\). (English) Zbl 1086.32032
Reviewer: Emil J. Straube (College Station)
On maximal Sobolev and Hölder estimates for the tangential Cauchy-Riemann operator and boundary Laplacian. (English) Zbl 1014.32031
Reviewer: Fritz Haslinger (Wien)
A theorem on analytic representation on hypersurfaces with singularities. (English) Zbl 1007.32023
Dimiev, Stancho (ed.) et al., Perspectives of complex analysis, differential geometry and mathematical physics. Proceedings of the 5th international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, September 3-9, 2000. Singapore: World Scientific. 45-52 (2001).
Reviewer: Vasily A.Chernecky (Odessa)
MSC:
32V10
Metrically thin singularities of integrable CR functions. (English) Zbl 0967.32010
Reviewer: Vasily A.Chernecky (Odessa)
Semi-global solutions of \(\overline{\partial}_b\) with \(L^p\) \((1\leq p\leq \infty)\) bounds on strongly pseudoconvex real hypersurfaces in \(\mathbb{C}^n\) \((n\geq 3)\). (English) Zbl 0954.32027
Reviewer: A.V.Chernecky (Odessa)
Regularity of \(\overline{\partial}_b\) on weakly pseudoconvex 3 dimensional CR manifolds. (English) Zbl 0894.32005
Reviewer: A.V.Chernecky (Odessa)
Spectral theory on Hardy spaces in several complex variables. (English) Zbl 0869.47018
Münster: Univ. Münster, FB Math. 115 p. (1996).
Reviewer: R.Mortini (Metz)
Hypoellipticity in the tangential Cauchy-Riemann complex. (English) Zbl 0804.35023
Reviewer: M.Derridj (Paris)
Levi metrics and the Romanov-Henkin kernel. (Levi-Metriken und der Romanov–Henkin-Kern.) (German) Zbl 0784.32015
Reviewer: E.J.Akutowicz (Montpellier)
Andreotti-Grauert theory for real hypersurfaces in complex manifolds. (Théorie d’Andreotti-Grauert pour les hypersurfaces réelles d’une variété analytique complexe.) (French) Zbl 0779.32020
Reviewer: E.Ballico (Povo)
Topological properties of \(q\)-convex sets. (English) Zbl 0776.32013
Reviewer: E.Ballico (Povo)
Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds. (English) Zbl 0766.32022
Reviewer: A.Tancredi (Perugia)
Optimal Hölder and \(L^ p\) estimates for \(\bar \partial{}_ b\) on the boundaries of real ellipsoids in \(\mathbb{C}^ n\). (English) Zbl 0736.35072
Reviewer: H.P.Boas (College Station)
Estimates for \(\bar\partial_ b\) on weakly pseudoconvex boundaries in \(\mathbb{C}^ n\). (English) Zbl 0811.32013
Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held at the Tsing Hua University, Beijing, China, August 1-7, 1988. Volume II: Analysis. Berlin: Springer- Verlag. 333-336 (1991).
Reviewer: A.M.Russakovskii (Khar’kov)
CR manifolds and the tangential Cauchy Riemann complex. (English) Zbl 0760.32001
Studies in Advanced Mathematics. Boca Raton, FL: CRC Press. xvii, 364 p. (1991).
Reviewer: A.Bejancu (Iaşi)
A note on removable singularities. (English) Zbl 0751.32007
Reviewer: P.Pflug (Vechta)
MSC:
32D20
On the removal of singular sets for the tangential Cauchy-Riemann operator. (English) Zbl 0695.32008
Reviewer: J.Davidov
\(L^ p\) estimates for local solutions of \({\bar \partial}_ b\) on strongly pseudo-convex CR-manifolds. (English) Zbl 0687.32017
Reviewer: M.-C.Shaw
MSC:
32W05
The range of the tangential Cauchy-Riemann operator. (English) Zbl 0609.32015
Reviewer: G.Laville
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