On the Regularity of the Pluricomplex Green Functions

m at h . C V ] 1 1 O ct 2 00 6 WEIGHTED POLYNOMIALS AND WEIGHTED PLURIPOTENTIAL THEORY

Let E be a compact subset of C and w ≥ 0 a weight function on E with w > 0 on a non-pluripolar subset of E. To (E, w) we associate a canonical circular set Z ⊂ C. We obtain precise relations between the weighted pluricomplex Green function and equilibrium measure of (E, w) and the pluricomplex Green function and equilibrium measure of Z. These results, combined with an appropriate form of the B...

Pluripotential Theory, Semigroups and Boundary Behavior of Infinitesimal Generators in Strongly Convex Domains

We characterize infinitesimal generators of semigroups of holomorphic selfmaps of strongly convex domains using the pluricomplex Green function and the pluricomplex Poisson kernel. Moreover, we study boundary regular fixed points of semigroups. Among other things, we characterize boundary regular fixed points both in terms of the boundary behavior of infinitesimal generators and in terms of plu...

Computing the Pluricomplex Green Function with Two Poles

Application of PROMETHEE method for green supplier selection: a comparative result based on preference functions

The PROMETHEE is a significant method for evaluating alternatives with respect to criteria in multi-criteria decision-making problems. It is characterized by many types of preference functions that are used for assigning the differences between alternatives in judgements. This paper proposes a preference of green suppliers using the PROMETHEE under the usual criterion preference functions. Comp...

Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function u for exp(−2u) to be locally integrable.