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摘要
The authors consider the multilinear Riesz potential operator defined by O(alpha,m)((f) over right arrow (x) = integral((Rd)m)(f(1)(y(1))f(2)(y(2)) ... f(m)(y(m))/vertical bar(x-y(1), ... , x-y(m))vertical bar(mn-alpha))d mu(y(1)) ... d mu(y(m)), where (f) over right arrow denotes the m-tuple (f(1), f(2), ... , f(m)), m, n the nonnegative integers with n >= 2, m =>= 1, 0 < alpha < mn, and mu is a nonnegative n-dimensional Borel measure. In this paper, the boundedness for the operator O(alpha,m) on the product of homogeneous Morrey-Herz spaces in nonhomogeneous setting is found.
