THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES
THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES
Summary: In this paper, we discuss and investigate the existence of the inclusion \(L^{p(.),\theta}(\mu) \subseteq L^{q(.),\theta}(\nu)\), where \(\mu\) and \(\nu\) are two finite measures on \((X,\Sigma) \). Moreover, we show that the generalized variable exponent grand Lebesgue space \(L^{p(.),\theta}(\Omega)\) has a potential-type approximate identity, where \(\Omega\) is a bounded open subset of \(\mathbb{R}^d\).
- Sinop University Turkey
Inclusion, Approximate identity, inclusion, approximate identity, Generalized variable exponent grand Lebesgue spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), generalized variable exponent grand Lebesgue spaces
Inclusion, Approximate identity, inclusion, approximate identity, Generalized variable exponent grand Lebesgue spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), generalized variable exponent grand Lebesgue spaces
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