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Articles

Berezin transform and Toeplitz operators on polygonal domains

Pages 773-787 | Received 07 Mar 2021, Accepted 06 Sep 2021, Published online: 23 Sep 2021

References

  • McDonald G, Sundberg C. Toeplitz operators on the disk. Indiana Univ Math J. 1979;28:595–611.
  • Zhu K. Operator theory in function spaces. 2nd ed. Providence, RI: American Mathematical Society; 2007 (Mathematical surveys and monographs; 138).
  • Hagger R. Limit operators, compactness and essential spectra on bounded symmetric domains. J Math Anal Appl. 2019;470:470–499.
  • Mannersalo P. Toeplitz operators with locally integrable symbols on Bergman spaces of bounded simply connected domains. Complex Var Elliptic Eq. 2016;61(6):854–874.
  • Bertilsson D. On Brennan's conjecture in conformal mapping [PhD thesis]. Kungliga Tekniska Högskolan; 1999.
  • Brennan J. The integrability of the derivative in conformal mapping. J Lond Math Soc. 1978;2(2):261–272.
  • Hedenmalm H. The dual of a Bergman space on simply connected domains. J Anal Math. 2002;88(1):311–335.
  • Pommerenke C. Boundary behaviour of conformal maps. Berlin: Springer-Verlag; 1992.
  • Békollé D. Projections sur des espaces de fonctions holomorphes dans des domains planes. Can J Math XXXVIII. 1986;38(1):127–157.
  • Nehari Z. Conformal mapping. New York: McGraw-Hill; 1952.
  • Bourdon P. Density of the polynomials in Bergman spaces. Pacific J Math. 1987;130(2):215–221.
  • Mannersalo P. Toeplitz operators on Bergman spaces of polygonal domains. Proc Edinburgh Math Soc. 2019;62(4):1115–1136.
  • Taskinen J. Regulated domains and Bergman type projections. Ann Acad Sci Fenn Math. 2003;28(1):55–68.
  • Taskinen J. Note on the paper “regulated domains and Bergman type projections”. J Funct Spaces Appl. 2004;2(2):97–106.