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http://dx.doi.org/10.11568/kjm.2021.29.3.581

THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES  

Aydin, Ismail (Department of Mathematics, Sinop University)
Unal, Cihan (Assessment, Selection and Placement Center)
Publication Information
Korean Journal of Mathematics / v.29, no.3, 2021 , pp. 581-591 More about this Journal
Abstract
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.
Keywords
Generalized variable exponent grand Lebesgue spaces; Inclusion; Approximate identity;
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