Extrapolation and interpolation in generalized Orlicz spaces

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Maximal regularity for local minimizers of non-autonomous functionals (2019, methodology): “pproach is new even for the double phase problem, type III. The Caldero´n–Zygmund type estimates (Lemma 4.15) in generalized Orlicz space Lθ for the norm will be obtained by an extrapolation argument [29] and in this process (A1) of θsuﬃces. However, we need a mean integral version of Caldero´n–Zygm”
A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “We want to stress embedding results of [66, 152].”
Hölder regularity of quasiminimizers under generalized growth conditions (2017, methodology): “However, this belief has been challenged recently, based on new techniques that were developed and perfected in the context of variable exponent spaces [11, 13, 19, 20, 24, 27, 28, 29, 30, 35, 36, 42].”