A decomposition of measures in euclidean space yielding error bounds for quadrature formulas (Q1088159)

By means of a technique due to Calderon and Zygmund we construct a decomposition of measures in \({\mathfrak R}^ s\) into ''small'' measures, where the size of a measure \(\mu\) is given by \(\| \mu \| \cdot diam(\sup p(\mu))^{\alpha}\), \(\alpha >0\). As an application of our result, we prove new error bounds for quadrature formulas.