We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step algorithm, which is based on the continued fraction expansion of the solution. In particular, the obtained results are applicable to the two-dimensional moment problem for atomic measures.

翻译：我们研究了基于Stieltjes变换的截断二维矩问题。解集合通过Schur逐步算法描述，该算法基于解的连分式展开。特别地，所得结果可应用于原子测度的二维矩问题。