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»ã±¨ÌáÒª£ºLebesgue spaces with mixed norms were first studied by Benedek and Panzone in 1961, where many fundamental properties were proved. In particular, they showed that such spaces possess similar properties as usual Lebesgue spaces. In this talk, we focus on the fractional integral opetrors on mixed Lebesgue spaces. As applications, we establish some geometric inequalities related to fractional integrals.