Recovery of the Symbol of Densely Defined Toeplitz Operators over the Hardy Space

Authors

  • Zakieldeen Aboabuda Mohamed Alhassn Ali Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz Univesity, Alkharj, Saudi Arabia
  • Reem Hussain Ibrahim Hassan Department of Mathematics, College of Science, Hail University, Hail, Saudi Arabia
  • Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman Department of Mathematics, Faculty of Education, Omdurman Islamic University, Omdurman, Sudan
  • Amna Mahmoud Ahmed Bakhit 4Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz Univesity, Alkharj, Saudi Arabia
  • Esameldin Abdalla Sidahmed Yahiya Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz Univesity, Alkharj, Saudi Arabia
  • Abuobida Mohammedahmed Abdelsalam Alfahal Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz Univesity, Alkharj, Saudi Arabia

DOI:

https://doi.org/10.47577/techhub.v1i.6

Keywords:

Toeplitz Operator, Hardy Space, sarason sub-spaces, Analytical Functions.

Abstract

While the symbolic map for the Toeplitz collection is well studied, little work was done on a high-defined symbolic map. Operators of Toeplitz. A family of applicant symbols includes this work. To play the Toeplitz operator symbol densely defined. Sarason sub-symbols will be introduced.

This results in a partial response. In 2008, Donald Sarason asked a question. In the limited case, an operator's Toeplitzness can be categorized according to his Sarason Sub-Symbols. This explains why the Sarason is being investigated. Sub-symbols on operators densely defined. Analytical closures are shown. Toeplitz is thickly defined.

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Published

2021-11-24

How to Cite

Mohamed Alhassn Ali, Z. A., Ibrahim Hassan, R. H., Abdel Rahman, A. R. A. R. A. G., Ahmed Bakhit, A. M., Sidahmed Yahiya, E. A., & Abdelsalam Alfahal, A. M. (2021). Recovery of the Symbol of Densely Defined Toeplitz Operators over the Hardy Space. TechHub Journal, 1(1), 65–74. https://doi.org/10.47577/techhub.v1i.6

Issue

Vol. 1 No. 1 (2021): TechHub Research Articles

Section

Articles