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Dergiler / 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)
Sayfa
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Yayın Tarihi
2016-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further results are presented.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Further results are presented.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (11)

  1. Abrahamse,M.B., (1971), Toeplitz operators in multiply connected regions, Bull. Amer. Math. Soc., Vol. 771971, pp. 449-454.
  2. Diestel,J. and Uhl,J.R., (1977), Vector Measures, Amer. Math. Soc. Math. Surveys, Vol. 15.
  3. Douglas,R.G., (1972), Banach Algebra Techniques in Operator Theory. Academic Press.
  4. Faour,N.S., (1982), Toeplitz operators on Bergmann and Hardy spaces, Houston J. Math., Vol. 18, pp. 185-191.
  5. Fatehi,M., (2010), On the generalized Hardy spaces, Abs. and appl. anal., Vol. 2010, pp. 1-14.
  6. Rabindranathan,M., (1969), On the inversion of Toeplitz operators, J. Math. Mech., Vol. 19.
  7. Rochberg,R., (1977), Toeplitz operators on weighted Hpspaces, Indiana Univ. Math. J., Vol. 26, pp. 291-298.
  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.