We consider Hausdorff and quasi-Hausdorff matrices as operatorson classical spaces of analytic functions such as the Hardy andthe Bergman spaces, the Dirichlet space, the Bloch spaces and $BMOA$. When the generatingsequence of the matrix is the moment sequence of a measure $mu$,we find the conditions on $mu$ which are equivalent to the boundednessof the matrix on the various spaces.
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机译：我们将Hausdorff和拟Hausdorff矩阵视为经典解析函数空间的算子，例如Hardy和Bergman空间，Dirichlet空间，Bloch空间和$ BMOA $。当矩阵的生成序列是度量$ mu $的矩序列时，我们在$ mu $上找到与矩阵在各种空间上的有界性相等的条件。
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