Remarks on the pluricomplex Green function

Convergence in Capacity of the Pluricomplex Green Function

In this paper we prove that if Ω is a bounded hyperconvex domain in C and if Ω 3 zj → ∂Ω, j → ∞, then the pluricomplex Green function gΩ(zj , ·) tends to 0 in capacity, as j →∞. A bounded open connected set Ω ⊂ Cn is called hyperconvex if there exists negative plurisubharmonic function ψ ∈ PSH(Ω) such that {z ∈ Ω : ψ(z) < c} ⊂⊂ Ω for all c < 0. Such ψ is called an exhaustion function for Ω. It ...

Computing the Pluricomplex Green Function with Two Poles

Remarks on Estimates for the Green Function

Uni6n M a t d t i c a Argentina Vol. 35 1990. Introduction The main purpose of this paper is to give a comprehensive motivation, with most of the key ideas used in the recent work by Garroni and Menaldi [lo], on the construction of the Green function G(z, t, (, r) for an integro-differential initial boundary value problem, when the differential operator is a second-order parabolic operator not ...

On the Regularity of the Pluricomplex Green Functions

Some Remarks on the Photosynthesis of Green

Of recent years there have been considerable contributions to the literature of the photosynthesis in plants. One must mention here the papers of Franck (1) and Stoll (2), who developed the theory proposed by Willst~tter (3), the interesting considerations of van Niel and Miiller (4), and the detailed discussions by Gaffron and Wohl (5) and Emerson (6). The most important of recent experimental...