-estimates for the Cauchy-Riemann equations on certain weakly pseudoconvex domains
-estimates for the -equation on concave domains of finite type
estimates for convex domains of finite type in are known from [7] for and from [2] for . We want to show the same result for concave domains of finite type. As in the case of strictly pseudoconvex domain, we fit the method used in the convex case to the concave one by switching and in the integral kernel of the operator used in the convex case. However the kernel will not have the same behavior on the boundary as in the Diederich-Fischer-Fornæss-Alexandre work. To overcome this problem...
Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains
For a strongly pseudoconvex domain defined by a real polynomial of degree , we prove that the Lie group can be identified with a constructible Nash algebraic smooth variety in the CR structure bundle of , and that the sum of its Betti numbers is bounded by a certain constant depending only on and . In case is simply connected, we further give an explicit but quite rough bound in terms of the dimension and the degree of the defining polynomial. Our approach is to adapt the Cartan-Chern-Moser...
Cartan-Thullen theorem for domains spread over ...-spaces.
Cauchy Kernels in Strictly Pseudokonvex Domains and an Application to a Mergelyan Type Approximation Problem.
Cauchy-Stieltjes integrals on strongly pseudoconvex domains
Characterization of Global Peak Sets for Aoo (D).
Characterization of the Unit Ball in Cn by Its Automorphism Group.
Ck-Regularity for the ?-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries.
Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.
On a finite intersection of strictly pseudoconvex domains we define two kinds of natural Nevanlinna classes in order to take the growth of the functions near the sides or the edges into account. We give a sufficient Blaschke type condition on an analytic set for being the zero set of a function in a given Nevanlinna class. On the other hand we show that the usual Blaschke condition is not necessary here.
Closed Finitely Generated Ideals in Algebras of Holomorphic Functions and Smooth to the Boundary in Strictly Pseudoconvex Domains.
Cohomologically complete and pseudoconvex domains.
Commutation properties and Lipschitz estimates for the Bergman and Szegö projections.
Comparison of the Bergman and the Kobayashi Metric.
Complément sur le noyau de Bergman
Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.
Completeness of the Bergman metric on non-smooth pseudoconvex domains
We prove that the Bergman metric on domains satisfying condition S is complete. This implies that any bounded pseudoconvex domain with Lipschitz boundary is complete with respect to the Bergman metric. We also show that bounded hyperconvex domains in the plane and convex domains in are Bergman comlete.
Complex analytic construction of the Kuranishi Family on a normal strongly pseudo convex manifold with real dimension 5.
Complex-Tangential Sets and Boundary Values in Submanifolds of the Boundary.
Condition and Fefferman's mapping theorem.