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