[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2013.35.2.311

HYPONORMALITY OF TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

Lee, Jongrak (Department of Mathematics, Sungkyunkwan University)
Lee, Youho (Department of Internet Information, Daegu Haany University)

Publication Information

Honam Mathematical Journal / v.35, no.2, 2013 , pp. 311-317 More about this Journal

Abstract

In this note we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Weighted Bergman space $A^2_{\alpha}(\mathbb{D})$ with symbol in the class of functions $f+\bar{g}$ with polynomials $f$ and $g$ of degree 2.

Keywords

Toeplitz operators; hyponormal; weighted Bergman space;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	D. Sarason, Generalized interpolation in $H^{\infty}$ , Trans. Amer. Math. Soc. 127 (1967), 179-203.
2	K. Zhu, Hyponormal Toeplitz operators with polynomial symbols, Integral Equations and Operator Theory 21 (1995), 376-381. DOI
3	C. Cowen, Hyponormality of Toeplitz operators, Proc. Amer. Math. Soc. 103 (1988), 809-812. DOI ScienceOn
4	R.E. Curto, I.S. Hwang and W.Y. Lee, Hyponormality and subnormality of block Toeplitz operators, Adv. Math. 230 (2012), 2094-2151. DOI ScienceOn
5	R.E. Curto and W.Y. Lee, Joint hyponormality of Toeplitz pairs, Memoirs Amer. Math. Soc. 150(712) (2001).
6	I.S. Hwang, I.H. Kim and W.Y. Lee, Hyponormality of Toeplitz operators with polynomial symbol, Math. Ann 313 (1999), 247-261. DOI ScienceOn
7	I.S. Hwang and W.Y. Lee, Hyponormality of trigonometric Toeplitz operators, Trans. Amer. Math. 354 (2002), 2461-2474. DOI ScienceOn
8	I.S. Hwang and J.R. Lee, Hyponormal Toeplitz operators on the weighted Bergman spaces, Math. Ineq. and App. 15 (2012), 323-330.
9	Yufeng Lu and Chaomei Liu, Commutativity and hyponormality of Toeplitz operators on the weighted Bergman space, J. Korean Math. Soc. 46 (2009), 621-642. 과학기술학회마을 DOI ScienceOn
10	T. Nakazi and K. Takahashi, Hyponormal Toeplitz operators and extremal problems of Hardy spaces, Trans. Amer. Math. Soc. 338 (1993), 753-769. DOI ScienceOn