Abstract
The main goal of this paper is the study of an analogue of the matricial Schur problem for the Potapov class P J ( D ) of J-contractive meromorphic functions in the open unit disk D . Using an approach which is based on an analysis of J-central J-Potapov functions, we will solve this problem in the most general case. Moreover, in the nondegenerate case we will give a description of the corresponding Weyl matrix balls. Furthermore, we will investigate the limit behaviour of the Weyl matrix balls associated with the functions belonging to some particular subclass of P J ( D ) .
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