Add to ORKGLet D be a domain over a product space of a Stein manifold S and Grassmann manifolds G1 (i=1,2,...,N) and D be the envelope of holomorphy of D. In this paper we shall show that each real-valued pluriharmonic function on D is the real part of a holomorphic function on D if and only if H1 (D, Z)=0, provided that D is not holomorphically equivalent to the set E×V1×...×Vi-1×G1×Vi+1×...×VN (i=1,...,N), where E is an open set of S and Vi is an open set of Gi
International audienceIn this note we show that on any compact subdomain of a Kähler manifold that a...
In this note we show that on any compact subdomain of a K¨ahler manifold that admits sufficiently ma...
AbstractThis is an essay on potential theory for geometric plurisubharmonic functions. It begins wit...
Abstract. We show that a disc functional on a complex manifold has a plurisubharmonic envelope if al...
In this paper, we explore the existence of pluricomplex Green functions for Stein manifolds from a f...
We prove a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous fun...
Let $W$ be a domain in a complex manifold $M$. In 2008 B. J\"oricke found a way to extend holomorphi...
We prove an analogue of Sadullaev's theorem concerning the size of the set where a maximal totally r...
Let Ω⊂Cn be a bounded domain and let A⊂C(Ω\uaf) be a uniform algebra generated by a set F of holomor...
Abstract. Denote by the open unit disc in C |. Let C be a closed convex subset ofC | 2.We prove tha...
In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. Fi...
We give a characterization of Stein manifolds M for which the space of analytic functions,O(M), is i...
www.science.unitn.it/˜perotti/ We consider the Dirichlet problem for pluriholomorphic functions of t...
summary:We prove, among other results, that $\min (u,v)$ is plurisubharmonic (psh) when $u,v$ belong...
and real analytic manifolds In Corollary 4.2.11 we saw that there will generally be significant rest...
International audienceIn this note we show that on any compact subdomain of a Kähler manifold that a...
In this note we show that on any compact subdomain of a K¨ahler manifold that admits sufficiently ma...
AbstractThis is an essay on potential theory for geometric plurisubharmonic functions. It begins wit...
Abstract. We show that a disc functional on a complex manifold has a plurisubharmonic envelope if al...
In this paper, we explore the existence of pluricomplex Green functions for Stein manifolds from a f...
We prove a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous fun...
Let $W$ be a domain in a complex manifold $M$. In 2008 B. J\"oricke found a way to extend holomorphi...
We prove an analogue of Sadullaev's theorem concerning the size of the set where a maximal totally r...
Let Ω⊂Cn be a bounded domain and let A⊂C(Ω\uaf) be a uniform algebra generated by a set F of holomor...
Abstract. Denote by the open unit disc in C |. Let C be a closed convex subset ofC | 2.We prove tha...
In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. Fi...
We give a characterization of Stein manifolds M for which the space of analytic functions,O(M), is i...
www.science.unitn.it/˜perotti/ We consider the Dirichlet problem for pluriholomorphic functions of t...
summary:We prove, among other results, that $\min (u,v)$ is plurisubharmonic (psh) when $u,v$ belong...
and real analytic manifolds In Corollary 4.2.11 we saw that there will generally be significant rest...
International audienceIn this note we show that on any compact subdomain of a Kähler manifold that a...
In this note we show that on any compact subdomain of a K¨ahler manifold that admits sufficiently ma...
AbstractThis is an essay on potential theory for geometric plurisubharmonic functions. It begins wit...