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Toeplitz operators and Hankel operators

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References

  1. Sheldon Axler, Hankel operators on Bergman space, Linear and complex anaylsis problem book (V. P. Havin, S. V. Hrussev, and N. K. Nikolski, eds), Lecture Notes in Math, V. 1043 Springer-Verlag, Berlin, 1984, pp. 262–263;

    Google Scholar 

  2. Sheldon Axler, The Bergman space, the Bloch space, and commutators of multiplication operators, Duke Math. J. 53(1986) 315–332;

    Google Scholar 

  3. Sheldon Axler, S.-Y. Chang and D. Sarason, Products of Toeplitz operators, Integral Equations and Operator Theory, 1(1978), 285–309;

    Google Scholar 

  4. Sheldon Axler and P. Gorkin, Algebras on the disk and doubly commuting Toeplitz operators, preprint;

  5. C. A. Berger, L. A. Coburn and K. H. Zhu, Function theory on Cartan domains and the Berezin-Toeplitz symbol calculus, to appear in American J. Math.;

  6. C. A. Berger, L. A. Coburn and K. H. Zhu, BMO and the Bergman metric on bounded symmetric domains, preprint;

  7. F. Forelli and W. Rudin, Projections on spaces of holomorphic functions in balls, Indiana Univ. Math. J. 24 (1974) 594–602.

    Google Scholar 

  8. J. Garnett, Bounded analytic functions, Academic Press, 1982;

  9. P. R. Halmos and V. S. Sunder, Bounded integral operators on L2 spaces, Springer-Verlag, 1978;

  10. S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, 1982;

  11. K. Hoffman, Bounded analytic functions and Gleason parts, Annals of Math. 86(1967), 74–111;

    Google Scholar 

  12. G. McDonald and C. Sundberg, Toeplitz operators on the disc, Indiana Univ. Math. J. 28(1979), 595–611;

    Google Scholar 

  13. A. L. Volberg, Two remarks concerning the theorem of S. Axler, S.-Y. Chang and D. Sarason, J. Operator theory 7(1982), 207–218;

    Google Scholar 

  14. D. Zheng, Hankel opertors and Toeplitz operators on the Bergman space, to appear in J. Functional Analysis;

  15. K. Zhu, VMO, ESV, and Toeplitz operators on the Bergman space, T.A.M.S. V302. N2. August 1987.

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Zheng, D. Toeplitz operators and Hankel operators. Integr equ oper theory 12, 280–299 (1989). https://doi.org/10.1007/BF01195117

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  • DOI: https://doi.org/10.1007/BF01195117

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