Add to ORKGLet M be a compact, connected C^2-smooth and globally minimal hypersurface M in P_2(C) which divides the projective space into two connected parts U^{+} and U^{-}. We prove that there exists a side, U^- or U^+, such that every continuous CR function on $M$ extends holomorphically to this side. Our proof of this theorem is a simplification of a result originally due to F. Sarkis (nternat. J. Math. 10 (1999), no. 7, 897--915)
We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for contin...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...
Let M be a compact, connected C^2-smooth and globally minimal hypersurface M in P_2(C) which divides...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. If Ω is relatively compact, the Harto...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. If Ω is relatively compact, the Harto...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. IfΩ is relatively compact, the Hartog...
A smooth, generic CR submanifold M of C$\sp{n}$ is said to be minimal at a point p if there is no ge...
The goal of the paper is to improve known sufficient conditions on a generic CR manifold $M\subset\m...
The goal of the paper is to improve known sufficient conditions on a generic CR manifold $M\subset\m...
We prove extension of CR functions from a hypersurface M of CN in presence of the so-called sector p...
Let $M$ be a generic CR submanifold in $\C^{m+n}$, $m= CRdim M \geq 1$,$n=codim M \geq 1$, $d=dim M ...
We consider a real analytic foliation of Cn by complex analytic manifolds of dimension m issued tran...
Several related questions in CR geometry are studied. First, the structure of the singular set of Le...
In 1906, Hartogs proved his famous holomorphic extension theorem for bounded domains in Cn, however,...
We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for contin...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...
Let M be a compact, connected C^2-smooth and globally minimal hypersurface M in P_2(C) which divides...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. If Ω is relatively compact, the Harto...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. If Ω is relatively compact, the Harto...
Let Ω ⊂ Cn, n ≥ 2, be a domain with smooth connected boundary. IfΩ is relatively compact, the Hartog...
A smooth, generic CR submanifold M of C$\sp{n}$ is said to be minimal at a point p if there is no ge...
The goal of the paper is to improve known sufficient conditions on a generic CR manifold $M\subset\m...
The goal of the paper is to improve known sufficient conditions on a generic CR manifold $M\subset\m...
We prove extension of CR functions from a hypersurface M of CN in presence of the so-called sector p...
Let $M$ be a generic CR submanifold in $\C^{m+n}$, $m= CRdim M \geq 1$,$n=codim M \geq 1$, $d=dim M ...
We consider a real analytic foliation of Cn by complex analytic manifolds of dimension m issued tran...
Several related questions in CR geometry are studied. First, the structure of the singular set of Le...
In 1906, Hartogs proved his famous holomorphic extension theorem for bounded domains in Cn, however,...
We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for contin...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...
In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurfac...