Differential operators on Jacobi forms of several variables

In this paper we study the Rankin Cohen type bilinear differential operators, more generally, multilinear differential operators on the space of Jacobi forms on H x C-n as well as on the space of modular forms on the orthogonal group O(2, n + 2). These types of Jacobi forms have been studied by Gritsenko and Krieg. (C) 2000 Academic Press.