THE FORGOTTEN PARAMETER IN GRAND LEBESGUE SPACES
THE FORGOTTEN PARAMETER IN GRAND LEBESGUE SPACES
Let \(11\) and \(\Delta\in(0,p-1]\) such that \(\widehat{\delta}(2\varepsilon)\le c\widehat{\delta}(\varepsilon)\) for all \(\varepsilon\in(0,\Delta]\). The main result of the paper says that \(X_{\widehat{\delta},\varepsilon_0}\) does not depend on small values of \(\varepsilon_0\) if and only if \(\widehat{\delta}\in\Delta_2(0+)\).
Generalized grand Lebesgue spaces, Banach function norm, generalized grand Lebesgue spaces, Generalized grand Lebesgue spaces; Banach function norm., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Generalized grand Lebesgue spaces, Banach function norm, generalized grand Lebesgue spaces, Generalized grand Lebesgue spaces; Banach function norm., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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