• Title/Summary/Keyword: Generalized variable exponent grand Lebesgue spaces

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THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES

  • Aydin, Ismail;Unal, Cihan
    • Korean Journal of Mathematics
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    • v.29 no.3
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    • pp.581-591
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    • 2021
  • In this paper, we discuss and investigate the existence of the inclusion Lp(.),𝜃 (𝜇) ⊆ Lq(.),𝜃 (𝜈), where 𝜇 and 𝜈 are two finite measures on (X, Σ). Moreover, we show that the generalized variable exponent grand Lebesgue space Lp(.),𝜃 (Ω) has a potential-type approximate identity, where Ω is a bounded open subset of ℝd.