A variant of the Hausdorff theorem for multi-index matrices II Original Research Article

We continue the studies of multi-index variants of the classical Hausdorff theorem on moments initiated in the first part of this paper. After proving an analogue of the above theorem for a class of t-index matrices whose action yields vector, we formulate and prove a general theorem concerning the action of certain (r1+r2)-index Hausdorff-like matrices on r1-index matrices giving as result r2-index matrices.