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Journals / TWMS Journal of Applied and Engineering Mathematics / 2016 / Volume: 6 Issue: 2

SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE

Sh. Al-sharif(Department of Mathematics, Yarmouk University, Irbed, Jordan)
Y. Jebreel(Department of Mathematics, Al-Jouf University, Saudi Arabia)
A. Khanfer(Department of Mathematics, Jordan University, Amman, Jordan)
Pages
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Publication Date
2016-12-01
DOI
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AI Summary & Key Takeaways

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

Further results are presented.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we de ne and study some properties of the generalized Hardy space HF;2; where F is an injective linear transform from Lp  into Lp  and  is the unit circle in the complex plane C: Also we introduce the concept of a generalized Toeplitz operator on HF;2 and prove some of its properties.
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Key Findings & Data:In this paper, we de ne and study some properties of the generalized Hardy space HF;2; where F is an injective linear transform from Lp  into Lp  and  is the unit circle in the complex plane C: Also we introduce the concept of a generalized Toeplitz operator on HF;2 and prove some of its properties.
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Conclusion & Impact:Further results are presented.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Hardy space · Toeplitz operator.

Abstract

In this paper, we de ne and study some properties of the generalized Hardy space HF;2; where F is an injective linear transform from Lp  into Lp  and  is the unit circle in the complex plane C: Also we introduce the concept of a generalized Toeplitz operator on HF;2 and prove some of its properties. Further results are presented.

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Cite This Article

Al-sharif, S., Jebreel, Y., Khanfer, A. (2016). SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. TWMS Journal of Applied and Engineering Mathematics, Volume: 6 Issue: 2. https://ajindex.com/articles/1604568

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References (11)

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  6. Rabindranathan,M., (1969), On the inversion of Toeplitz operators, J. Math. Mech., Vol. 19.
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  8. Vukoti´c,D., (2003), Analytic Toeplitz operators on the Hardy space Hp: A Survey, Bull. Belg. Math. Soc., Vol.10, pp. 101-113.
  9. Wermer,J., (1976), Banach Algebras and Several Complex Variables, Springer-Verlag.
  10. Widom,H., (1966), Toeplitz operators on Hp, Pacific J. Math., Vol. 19, pp. 573-582.
  11. Sharifa Al-Sharif, for the photograph and short biography, see TWMS J. Appl. and Eng. Math., V.4, No.2, 2014.