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Hyponormality of Toeplitz operators on the Bergman space

황인성
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회지 (Journal of the KMS)|제45권 제4호|pp. 1027-1041

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참고문헌

키워드

Toeplitz operatorsBergman spacehyponormal operators
주제분류수학

초록

In this paper we consider the hyponormality of Toeplitz operators Tp on the Bergman space L2a(D) in the cases, where p := f + g (f and g are polynomials). We present some necessary or sufficient conditions for the hyponormality of Tp under certain assumptions about the coefficients of p.

Abstract

In this paper we consider the hyponormality of Toeplitz operators Tp on the Bergman space L2a(D) in the cases, where p := f + g (f and g are polynomials). We present some necessary or sufficient conditions for the hyponormality of Tp under certain assumptions about the coefficients of p.

참고문헌 (11)

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  3. R. E. Curto, "Joint hyponormality of Toeplitz pairs", Memoirs of the American Mathematical Society, 150(712), pp.65~ (2001)
  4. R. Douglas, "Banach Algebra Techniques in Operator Theory, Pure and Applied Mathematics, Vol. 49" (1972), Academic Press
  5. P. Duren, "Theory of Hp Spaces, Pure and Applied Mathematics, Vol. 38" (1970), Academic Press
  6. D. R. Farenick, "Hyponormality and spectra of Toeplitz operators", Transactions of the American Mathematical Society, 348(10), pp.4153~4174 (1996)
  7. 황인성, "Hyponormal Toeplitz operators on the Bergman space. II.", 대한수학회지, 44(3), pp.517~522 (2007), 대한수학회
  8. I. S. Hwang, "Hyponormality of Toeplitz operators with polynomial symbols", Mathematische Annalen, 313(2), pp.247~261 (1999)
  9. I. S. Hwang, "Hyponormality of trigonometric Toeplitz operators", Transactions of the American Mathematical Society, 354(6), pp.2461~2474 (2002)
  10. T. Nakazi, "Hyponormal Toeplitz operators and extremal problems of Hardy spaces", Transactions of the American Mathematical Society, 338(2), pp.753~767 (1993)
  11. H. Sadraoui, "Hyponormality of Toeplitz operators and composition operators", 학사, pp.1992

관련 논문AI추천

Commutativity 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 제1호A sufficient condition for hyponormal Toeplitz operators on the Bergman space김수민, 이종락대한수학회 · 대한수학회보2024 · 제61권 제4호Hyponormal Toeplitz operators on the Bergman space. II.이종락, 황인성대한수학회 · 대한수학회보2007 · 제44권 제3호HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACEIn Sung Hwang대한수학회 · 대한수학회지2005 · 제42권 제2호On $2$--hyponormal Toeplitz operators with finite rank self--commutators김안현대한수학회 · 대한수학회논문집2016 · 제31권 제3호

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