HYPONORMALITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE

Title & Authors
HYPONORMALITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
Hwang, In-Sung;

Abstract
In this paper we consider the hyponormality of Toeplitz operators $\small{T_{\varphi}}$ on the Bergman space $\small{L_a^2{(\mathbb{D})}$ in the cases, where ${\varphi}\;: Keywords Toeplitz operators;hyponormal operators;Bergman space; Language English Cited by References 1. S. Axler, Bergman spaces and their operators, Surveys of some recent results in operator theory, Vol. I, 1-50, Pitman Res. Notes Math. Ser., 171, Longman Sci. Tech., Harlow, 1988 2. C. Cowen, Hyponormality of Toeplitz operators, Proc. Amer. Math. Soc. 103 (1988), no. 3, 809-812 3. R. E. Curto and W. Y. Lee, Joint hyponormality of Toeplitz pairs, Mem. Amer. Math. Soc. 150 (2001), no. 712, x+65 pp 4. R. Douglas, Banach Algebra Techniques in Operator Theory, Pure and Applied Mathematics, Vol. 49. Academic Press, New York-London, 1972 5. P. Duren, Theory of$H^{p}\$ Spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London 1970

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