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The Nemytskii operator on bounded ö-variation in the mean spaces
We introduce the notion of bounded Φ-variation in the sense of LΦ-norm. We obtain a Riesz type result for functions of bounded Φ-variation in the mean. We also show that if the Nemytskii operator act on the bounded Φ-variation in the mean spaces into itself and satisfy some Lipschitz condition …