SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 2

Basic properties and multipliers space on $L^1(G)cap L(P,q) (G)$ spaces

Cenap DUYAR
İlker ERYILMAZ
Pages
235–243
Publication Date
2022-11-03
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then is mentioned the multipliers space on $L^1(G)cap L(P,q) (G)$ spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let G be locally compact Abelian group with Haar measure.
📊
Key Findings & Data:First is discussed some properties of $L^1(G)cap L(P,q) (G)$ spaces.
💡
Conclusion & Impact:Then is mentioned the multipliers space on $L^1(G)cap L(P,q) (G)$ spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let G be locally compact Abelian group with Haar measure. First is discussed some properties of $L^1(G)cap L(P,q) (G)$ spaces. Then is mentioned the multipliers space on $L^1(G)cap L(P,q) (G)$ spaces.

🔖

Cite This Article

DUYAR, C., ERYILMAZ, İ. (2022). Basic properties and multipliers space on $L^1(G)cap L(P,q) (G)$ spaces. Turkish Journal of Mathematics, Cilt: 32 - Sayı: 2, 235–243. https://ajindex.com/articles/609044

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Blozinski, A.P.: On a convolution theorem for L(p, q) spaces, Trans. Amer. Math. Soc. 164, 255-264, (1972)
  2. Blozinski, A.P.: Convolution of L(p, q) functions, Proc. of the Amer. Math. Soc. 32-1, 237-240, (1972)
  3. Chen, Y.K. and Lai, H.C.: Multipliers of Lorentz spaces, Hokkaido Math. J.4, 247-260, (1975)
  4. Duyar, C. and Gürkanlı, A.T.: Multipliers and Relative completion in weighted Lorentz spaces,Acta Math. Sci.23, 467-476, (2003)
  5. Feichtinger, H.: Multipliers of Banach spaces of functions on groups, Math. Z. 157, 47-58, (1976)
  6. Hunt, R.A.: On L(p, q) spaces, L’enseignement Mathematique,TXII-4, 249-276, (1966)
  7. O’Neil, R.: Convolution operators and L(p, q) spaces, DMJ 30, 129-142, (1963)
  8. Öztop, S.: A note on multipliers of $L^p (G,A)$, J. Aust. Math. Soc., 74, 25-34, (2003)
  9. Saeki, S. and Thome, E.L.: Lorentz spaces as $L^1$-modules and multipliers, Hokkaido Math. J. 23, 55-92, (1994)
  10. Wang, A.C.: Homogeneous Banach Algebras, M.Dekker INC.Newyork 1980
  11. Warner, C.R.: Closed ideals in the group algebra $L^1 (G)cap L^2 (G)$, Trans. Amer. Math. Soc.,121,408-423, (1966)
  12. Yap, L.Y.H.: Some remarks on convolution operators and L(p, q) spaces, DMJ, 36, 647-658, (1969)
  13. Yap, L.Y.H.: Ideals in subalgebras of the group algebras, Studia Math. 35, 165-175, (1972)
  14. Yap, L.Y.H.: On Two classes of subalgebras of $L^1 (G)$, Proc. Japan Acad., 48, 315-319, (1972).