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In this paper, we established the boundedness of m-linear Marcinkiewiczintegral on Campanato type spaces. We showed that if the $m$-linearMarcinkiewicz integral is finite for one point, then it is finite almosteverywhere. Moreover, the following norm inequality holds,$$\|\mu(\vec{f})\|_{\mathcal{E}^{\alpha,p}} \leqC\prod_{j=1}^m\|f_j\|_{\mathcal{E}^{\alpha_j,p_j}},$$ where$\mathcal{E}^{\alpha,p}$ is the classical Campanato spaces.

The existence and boundedness of multilinear Marcinkiewicz integrals on Companato spaces