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SUMS OF DUAL TOEPLITZ PRODUCTS ON THE WEIGHTED SPACES

  • Young Joo, Lee (Department of Mathematics, Chonnam National University)
  • 투고 : 2022.08.26
  • 심사 : 2022.09.30
  • 발행 : 2022.12.25

초록

On the setting of the orthogonal complement of the weighted Bergman space, we study the problem of when a finite sum of dual Toeplitz products is compact or zero. Our results extend several known results on the unweighted space to the weighted spaces.

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참고문헌

  1. Y. Chen and Y. J. Lee, Sums of dual Toeplitz products on the orthogonal complements of the Fock spaces, Integral Equation and Operator Theory 93 (2021), Article Number 11.
  2. B. Choe, H. Koo, and Y. J. Lee, Sums of Toeplitz products with harmonic symbols, Revista Matematica Iberoamericana 24 (2008), 43-70.
  3. H. Guediri, Dual Toeplitz operators on the sphere, Acta Mathematica Sinica 29 (2013), 1791-1808. https://doi.org/10.1007/s10114-013-1717-z
  4. L. Kong and Y. Lu, Some algebraic properties of dual Toeplitz operators, Houston J. of Math. 44 (2018), 169-185.
  5. Y. J. Lee, Finite sums of dual Toeplitz products, Studia Mathematica 256 (2021), no. 2, 197-215. https://doi.org/10.4064/sm190724-17-12
  6. Y. Lu, Commuting dual Toeplitz operators with pluriharmonic symbols, J. Math. Anal. Appl. 302 (2005), 149-156. https://doi.org/10.1016/j.jmaa.2004.07.046
  7. Y. Lu and J. Yang, Commuting Dual Toeplitz operators on weighted Bergman spaces of the unit ball, Acta Mathematica Sinica 27 (2011), 1725-1742. https://doi.org/10.1007/s10114-011-8577-1
  8. W. Rudin, Function Theory in the Unit Ball of Cn, Springer-Verlag, New York, 1980.
  9. K. Stroethoff and D. Zheng, Algebraic and spectral properties of dual Toeplitz operators, Trans. Amer. Math. Soc. 354 (2002), 2495-2520.  https://doi.org/10.1090/S0002-9947-02-02954-9