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Journals / TWMS Journal of Applied and Engineering Mathematics / 2016 / Cilt: 6 - Sayı: 2

SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE

Sh. AL-SHARİF
Y. JEBREEL
A. KHANFER
Pages
185–192
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 dene 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 dene 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:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hardy space · Toeplitz operator.

Abstract

In this paper, we dene 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-SHARİF, S., JEBREEL, Y., KHANFER, A. (2016). SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. TWMS Journal of Applied and Engineering Mathematics, Cilt: 6 - Sayı: 2, 185–192. https://ajindex.com/articles/846450

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References (4)

  1. Abrahamse,M.B., (1971), Toeplitz operators in multiply connected regions, Bull. Amer. Math. Soc., Vol. 771971, pp. 449-454. Diestel,J. and Uhl,J.R., (1977),
  2. Vector Measures, Amer. Math. Soc. Math. Surveys, Vol. 15. Douglas,R.G., (1972), Banach Algebra Techniques in Operator Theory. Academic Press. Faour,N.S., (1982), Toeplitz operators on Bergmann and Hardy spaces, Houston J. Math., Vol. 18, pp. 185-191. Fatehi,M., (2010),
  3. On the generalized Hardy spaces, Abs. and appl. anal., Vol. 2010, pp. 1-14. Rabindranathan,M., (1969), On the inversion of Toeplitz operators, J. Math. Mech., Vol. 19. Rochberg,R., (1977), Toeplitz operators on weighted Hpspaces, Indiana Univ. Math. J., Vol. 26, pp. 291-298. Vukoti´c,D., (2003), Analytic Toeplitz operators on the Hardy space Hp: A Survey, Bull. Belg. Math. Soc., Vol.10, pp. 101-113. Wermer,J., (1976), Banach Algebras and Several Complex Variables, Springer-Verlag. Widom,H., (1966),
  4. Toeplitz operators on Hp, Pacific J. Math., Vol. 19, pp. 573-582. Sharifa Al-Sharif, for the photograph and short biography, see TWMS J. Appl. and Eng. Math., V.4, No.2, 2014.