SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE

Volume: 6 Number: 2 December 1, 2016
  • Sh. Al-sharif
  • Y. Jebreel
  • A. Khanfer
EN

SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Sh. Al-sharif This is me

Y. Jebreel This is me

A. Khanfer This is me

Publication Date

December 1, 2016

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2016 Volume: 6 Number: 2

APA
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, 6(2), 185-192. https://izlik.org/JA45WX56TB
AMA
1.Al-sharif S, Jebreel Y, Khanfer A. SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. JAEM. 2016;6(2):185-192. https://izlik.org/JA45WX56TB
Chicago
Al-sharif, Sh., Y. Jebreel, and A. Khanfer. 2016. “SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE”. TWMS Journal of Applied and Engineering Mathematics 6 (2): 185-92. https://izlik.org/JA45WX56TB.
EndNote
Al-sharif S, Jebreel Y, Khanfer A (December 1, 2016) SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. TWMS Journal of Applied and Engineering Mathematics 6 2 185–192.
IEEE
[1]S. Al-sharif, Y. Jebreel, and A. Khanfer, “SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE”, JAEM, vol. 6, no. 2, pp. 185–192, Dec. 2016, [Online]. Available: https://izlik.org/JA45WX56TB
ISNAD
Al-sharif, Sh. - Jebreel, Y. - Khanfer, A. “SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE”. TWMS Journal of Applied and Engineering Mathematics 6/2 (December 1, 2016): 185-192. https://izlik.org/JA45WX56TB.
JAMA
1.Al-sharif S, Jebreel Y, Khanfer A. SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. JAEM. 2016;6:185–192.
MLA
Al-sharif, Sh., et al. “SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE”. TWMS Journal of Applied and Engineering Mathematics, vol. 6, no. 2, Dec. 2016, pp. 185-92, https://izlik.org/JA45WX56TB.
Vancouver
1.Sh. Al-sharif, Y. Jebreel, A. Khanfer. SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE. JAEM [Internet]. 2016 Dec. 1;6(2):185-92. Available from: https://izlik.org/JA45WX56TB