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

Basic Properties and Multipliers Space on L1(G)\cap L(p,q)(G) Spaces

Pages
235–243
Publication Date
2008-02-01
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 L1(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 L1(G) \cap L(p,q)(G) spaces.
💡
Conclusion & Impact:Then is mentioned the multipliers space on L1(G) \cap L(p,q) (G) spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2008) · 235-243. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

Let G be locally compact Abelian group with Haar measure. First is discussed some properties of L1(G) \cap L(p,q)(G) spaces. Then is mentioned the multipliers space on L1(G) \cap L(p,q) (G) spaces.

Özet

Let G be locally compact Abelian group with Haar measure. First is discussed some properties of L1(G) \cap L(p,q)(G) spaces. Then is mentioned the multipliers space on L1(G) \cap L(p,q) (G) spaces.

🔖

Cite This Article

ERYILMAZ, İ., DUYAR, C. (2008). Basic Properties and Multipliers Space on L1(G)\cap L(p,q)(G) Spaces. Turkish Journal of Mathematics, Cilt: 32 - Sayı: 2, 235–243. https://ajindex.com/articles/723381

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Blozinski, A.P.: On a convolution theorem for L(p, q) spaces, Trans. Amer. Math. Soc. 164, 264, (1972).
  2. Blozinski, A.P.: Convolution ofL(p, q) functions, Proc. of the Amer. Math. Soc. 32-1, 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 G¨urkanlı, 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). O’Neil, R.: Convolution operators and L(p, q) spaces, DMJ 30, 129-142, (1963). ¨Oztop, S.: A note on multipliers of Lp(G, A), J. Aust. Math. Soc., 74, 25-34, (2003).
  7. Saeki, S. and Thome, E.L.: Lorentz spaces as L1-modules and multipliers, Hokkaido Math. J. 23, 55-92, (1994).
  8. Wang, A.C.: Homogeneous Banach Algebras, M.Dekker INC.Newyork 1980.
  9. Warner, C.R.: Closed ideals in the group algebra L(G)∩ L2(G), Trans. Amer. Math. Soc.,121,408-423, (1966).
  10. Yap, L.Y.H.: Some remarks on convolution operators and L(p, q) spaces, DMJ, 36, 647-658, (1969).
  11. Yap, L.Y.H.: Ideals in subalgebras of the group algebras, Studia Math. 35, 165-175, (1972).
  12. Yap, L.Y.H.: On Two classes of subalgebras of L(G), Proc. Japan Acad., 48, 315-319, (1972). ˙Ilker ERYILMAZ, Cenap DUYAR Ondokuz Mayıs University, Faculty of Science and Arts, Department of Mathematics, Kurupelit, Samsun, TURKEY e-mail: [email protected]• [email protected]