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MR2731699 46E30 (42B35)
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces $L^{p(\cdot)}(\log L)^{q(\cdot)}$. Ann. Acad. Sci. Fenn. Math. 35 (2010), no. 2, 405–420.
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