Grand Lebesgue spaces with respect to measurable functions

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On grand and small Lebesgue and Sobolev spaces and some applications to PDE's (2018, background): “In [9] (see also [80]) also the exponent p− ε has been generalized into a measurable function of ε (in the paper it is shown that this operation makes sense, and that, for instance, this way one can catch certain Orlicz spaces of exponential type for unbonded exponents; see also [12] and references ”
Boyd Indices in Generalized Grand Lebesgue Spaces and Applications (2015, background): “In [7], it is proved that L(0, 1) are r.”