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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

On Lipschitz-Lorentz spaces and their Zygmund classes

İlker ERYILMAZ
Cenap DUYAR
Sayfa
159–169
Yayın Tarihi
2022-10-18
DOI
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Also, we characterize the space of multipliers from Lorentz spaces to the Lipschitz-Lorentz-Zygmund classes L$Lambda_*$($alpha$ , pq;G) and L$lambda_*$( $alpha$, pq;G).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let G be a metrizable locally compact abelian group.
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Temel Bulgular & Veri:We prove that ($L _1$(G), lip($alpha,pq$), $widetilde {lip(alpha,pq)}$, ($L _1$(G), Lip ( $alpha$, pq)) and Lip ($alpha$ , pq) are isometrically isomorphic, where Lip ( $alpha$$, pq) and lip ($alpha$ , pq) denote the Lipschitz-Lorentz spaces defined on G, ($L _1$(G),A) is the space of multipliers from $L _1$(G) to A and $widetilde {lip(alpha,pq)}$ denotes the relative completion of lip ( $alpha$, pq).
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Sonuç & Katkı:Also, we characterize the space of multipliers from Lorentz spaces to the Lipschitz-Lorentz-Zygmund classes L$Lambda_*$($alpha$ , pq;G) and L$lambda_*$( $alpha$, pq;G).
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let G be a metrizable locally compact abelian group. We prove that ($L _1$(G), lip($alpha,pq$), $widetilde {lip(alpha,pq)}$, ($L _1$(G), Lip ( $alpha$, pq)) and Lip ($alpha$ , pq) are isometrically isomorphic, where Lip ( $alpha$$, pq) and lip ($alpha$ , pq) denote the Lipschitz-Lorentz spaces defined on G, ($L _1$(G),A) is the space of multipliers from $L _1$(G) to A and $widetilde {lip(alpha,pq)}$ denotes the relative completion of lip ( $alpha$, pq). Also, we characterize the space of multipliers from Lorentz spaces to the Lipschitz-Lorentz-Zygmund classes L$Lambda_*$($alpha$ , pq;G) and L$lambda_*$( $alpha$, pq;G).

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Bu Makaleye Atıf Yap

ERYILMAZ, İ., DUYAR, C. (2022). On Lipschitz-Lorentz spaces and their Zygmund classes. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 159–169. https://ajindex.com/articles/530615

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Kaynakça (16)

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