WEIGHTED PLURIPOTENTIAL THEORY

Let E be a compact subset of C N 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 ZC N+1 . 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 Bernstein-Markov inequality, are used to obtain asymptotic formulas for the leading coefficients of orthonormal polynormials with respect tocertain exponentially decreasing weights in R N.