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Hyponormal Toeplitz operators on the Bergman space. II.

이종락|황인성
대한수학회 (The Korean Mathematical Society)|2007.08|대한수학회보 (Bulletin of the KMS)|제44권 제3호|pp. 517-522

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Abstract

In this paper we consider the hyponormality of Toeplitz oper-atorsT' on the Bergman space L2a(D) with symbol in the case of functionf +g with polynomials f and g. We present some necessary conditions forthe hyponormality of T' under certain assumptions about the coecientsof '.

참고문헌 (9)

  1. Bergman spaces, "Surveys of some recent results in operatortheory" (1988), Pitman Res. Notes Math. Ser.
  2. C. Cowen, "Hyponormality of Toeplitz operators" (1988)
  3. R. Douglas, "Banach algebra techniques in operator theory" (1972), Vol. 49. Academic Press
  4. "Theory of H p spaces 1970.522 IN SUNG HWANG AND JONGRAK LEE", Vol. 38 Academic Press
  5. "Hyponormality of Toeplitz operators with poly-nomial symbols", 313(2), pp.247~261 (1999)
  6. "Hyponormality of trigonometric Toeplitz operators", 354(6), pp.2461~2474 (2002)
  7. "Hyponormal Toeplitz operators on the Bergman space", 42(2), pp.387~403 (2005)
  8. "Hyponormality of Toeplitz operators and Composition operators" (1992), Purdue University
  9. "Generalized interpolation in H 1" (1967)

관련 논문AI추천

HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACEIn Sung Hwang대한수학회 · 대한수학회지2005 · 제42권 제2호Hyponormality of Toeplitz operators on the Bergman space황인성대한수학회 · 대한수학회지2008 · 제45권 제4호Commutativity and hyponormality of Toeplitz operators on the weighted Bergman spaceChaomei Liu, Yufeng Lu대한수학회 · 대한수학회지2009 · 제46권 제3호The Hyponormal Toeplitz operators on the vector valued Bergman spacePuyu Cui, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2014 · 제51권 제1호Some Toeplitz operators on weighted Bergman spaces강시호대한수학회 · 대한수학회보2011 · 제48권 제1호Hyponormality of Toeplitz operators and the Cowen’s set김안현, Eun Young Kwon영남수학회 · East Asian Mathematical Journal2025 · 제41권 제1호

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