A theorem on the approximation of plurisubharmonic functions in Lelong classes

The paper is dedicated to approximation of plurisubharmonic functions in the Lelong class L(Cn)L(Cn) by the functions of the form 1djlog|pj|, where pjpj are polynomials in CnCn with degree degpj≤djdegpj≤dj. We must say that this result is inspired by Theorem 15.1.6 in Hörmander (1983). Some applications to pluripolar sets are also given.