Research Article

The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space

Volume: 52 Number: 3 May 30, 2023
EN

The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space

Abstract

In this paper, we study the boundedness and compactness of the Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Also, we give an estimate for the essential norm of the above operator.

Keywords

References

  1. [1] E. Abbasi and H. Vaezi, Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted-type spaces, Math. Slovaca 70 (1), 71-80, 2020.
  2. [2] E. Abbasi, H. Vaezi and S. Li, Essential norm of weighted composition operators from $H^{\infty}$ to $n$th weighted-type spaces, Mediterr. J. Math. 16, Article no:133, 2019.
  3. [3] J. Arazy, Multipliers of Bloch functions, University of Haifa Mathematics Publications Series 54, 1982.
  4. [4] K.R.M. Attele, Toeplitz and Hankel operators on Bergman one space, Hokkaido Math. J. 21 (2), 279-293, 1992.
  5. [5] R.E. Castillo, D.D. Clahane, J.F.F. Lopez and J.C.R. Fernndez, Composition operators from logarithmic Bloch spaces to weighted Bloch spaces, Appl. Math. Comput. 219 (12), 6692-6706, 2013.
  6. [6] F. Colonna and S. Li, Weighted composition operators from the Lipschitz space into the Zygmund space, MIA, Math. Inequal. Appl., Article ID 48478, 2007.
  7. [7] C.C. Cowen and B. MacCluer, Composition operators on spaces of analytic functions, Stud. Adv. Math., CRC Press, Boca Raton, 1995.
  8. [8] P.L. Duren, Theory of $H^{p}$ spaces, Academic press, New York, 1970.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

May 30, 2023

Submission Date

April 20, 2022

Acceptance Date

October 9, 2022

Published in Issue

Year 2023 Volume: 52 Number: 3

APA
Vaezi, H., & Mahmoudfakheh, S. (2023). The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Hacettepe Journal of Mathematics and Statistics, 52(3), 585-595. https://doi.org/10.15672/hujms.1104784
AMA
1.Vaezi H, Mahmoudfakheh S. The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Hacettepe Journal of Mathematics and Statistics. 2023;52(3):585-595. doi:10.15672/hujms.1104784
Chicago
Vaezi, Hamid, and Soran Mahmoudfakheh. 2023. “The Stević-Sharma Operator on the Lipschitz Space into the Logarithmic Bloch Space”. Hacettepe Journal of Mathematics and Statistics 52 (3): 585-95. https://doi.org/10.15672/hujms.1104784.
EndNote
Vaezi H, Mahmoudfakheh S (May 1, 2023) The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Hacettepe Journal of Mathematics and Statistics 52 3 585–595.
IEEE
[1]H. Vaezi and S. Mahmoudfakheh, “The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 3, pp. 585–595, May 2023, doi: 10.15672/hujms.1104784.
ISNAD
Vaezi, Hamid - Mahmoudfakheh, Soran. “The Stević-Sharma Operator on the Lipschitz Space into the Logarithmic Bloch Space”. Hacettepe Journal of Mathematics and Statistics 52/3 (May 1, 2023): 585-595. https://doi.org/10.15672/hujms.1104784.
JAMA
1.Vaezi H, Mahmoudfakheh S. The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Hacettepe Journal of Mathematics and Statistics. 2023;52:585–595.
MLA
Vaezi, Hamid, and Soran Mahmoudfakheh. “The Stević-Sharma Operator on the Lipschitz Space into the Logarithmic Bloch Space”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 3, May 2023, pp. 585-9, doi:10.15672/hujms.1104784.
Vancouver
1.Hamid Vaezi, Soran Mahmoudfakheh. The Stević-Sharma operator on the Lipschitz space into the logarithmic Bloch space. Hacettepe Journal of Mathematics and Statistics. 2023 May 1;52(3):585-9. doi:10.15672/hujms.1104784