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- W2898894825 abstract "In this paper we show that Musielak--Orlicz spaces are UMD spaces under the so-called $Delta_2$ condition on the generalized Young function and its complemented function. We also prove that if the measure space is divisible, then a Musielak--Orlicz space has the UMD property if and only if it is reflexive. As a consequence we show that reflexive variable Lebesgue spaces $L^{p(cdot)}$ are UMD spaces." @default.
- W2898894825 created "2018-11-09" @default.
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- W2898894825 date "2018-10-31" @default.
- W2898894825 modified "2023-09-27" @default.
- W2898894825 title "The UMD property for Musielak--Orlicz spaces" @default.
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