  Theory of the quantized flag manifold as a quasi-scheme (non-commutative
scheme) has been developed by Lunts-Rosenberg. They have formulated an analogue
of the Beilinson-Bernstein correspondence using the $q$-differential operators
introduced in their earlier paper. In this paper we shall establish its
modified version using a class of $q$-differential operators, which is
(possibly) smaller than the one used by Lunts-Rosenberg.
