Abstract: Mixed-norm L^P spaces were described by Benedek and Panzone in 1961, but are connected to Littlewood's earlier 4/3 inequality and recent work on the Bohnenblust-Hille inequality. Among these properties are mixed-norm versions of Holder's inequality and Minkowski's integral inequality, which can work together to simplify certain proofs. Minkowski's integral inequality already has a mixed-norm character, and its general mixed-norm extension (described by Fournier in 1987) allows embeddings among various mixed norm spaces on a product measure space. Much of the talk should be clear with a basic background in integration and conventional L^p spaces