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Research Paper | Mathematics | Saudi Arabia | Volume 13 Issue 11, November 2024 | Popularity: 5.1 / 10

Examining Hyponormality in Toeplitz Operators: Non-Harmonic Symbols on Weighted Bergman Spaces

Huwaida Elsiddig Haroun Mohammed

Abstract: In this study, we explore the hyponormality of Toeplitz operators with non-harmonic symbols within the framework of weighted Bergman spaces. By examining necessary and sufficient conditions, we demonstrate that the Toeplitz operator is hyponormal when particular constants and functions meet the defined criteria. Further, we analyze scenarios in which Toeplitz operators become normal and hyponormal based on operator symbols and coefficients, providing both theoretical and practical insights.

Keywords: Toeplitz operators, Hyponormality, non-harmonic symbols, Bergman spaces, weighted spaces

Edition: Volume 13 Issue 11, November 2024

Pages: 225 - 230

DOI: https://www.doi.org/10.21275/SR241102000359

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Huwaida Elsiddig Haroun Mohammed, "Examining Hyponormality in Toeplitz Operators: Non-Harmonic Symbols on Weighted Bergman Spaces", International Journal of Science and Research (IJSR), Volume 13 Issue 11, November 2024, pp. 225-230, URL: https://www.ijsr.net/getabstract.php?paperid=SR241102000359, DOI: https://www.doi.org/10.21275/SR241102000359

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