Korean Journal of Mathematics

  • 제29권3호
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  • Pages.581-591
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  • 2021
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES

  • Aydin, Ismail (Department of Mathematics, Sinop University) ;
  • Unal, Cihan (Assessment, Selection and Placement Center)
  • 투고 : 2020.12.23
  • 심사 : 2021.08.30
  • 발행 : 2021.09.30
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초록

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.

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참고문헌

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