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Original Articles

Spectral asymptotic of Cauchy’s operator on harmonic Bergman space for a simply connected domain

Pages 770-782 | Received 09 Oct 2016, Accepted 04 Jun 2017, Published online: 20 Jun 2017

References

  • Axler S, Bourdon P, Ramey W. Harmonic function theory. New York (NY): Springer-Verlag; 2000.
  • Arazy J, Khavison D. Spectral estimates of Cauchy’s transform in L2(Ω). Integral Equ Oper Theory. 1992;15(6):901–919.
  • Dostanić M. The properties of the Cauchy transform on a bounded domain. J Oper Theory. 1996;36:233–247.
  • Dostanić M. Spectral properties of the Cauchy operator and its product with Bergman’s projection on a bounded domain. Proc London Math Soc. 1998;76:667–684.
  • Dostanić M. Cauchy operator on Bergman space of harmonic functions on unit disc. Matematicki Vesnik. 2010;63–67.
  • Vujadinović Dj. Spectral estimates of Cauchy’s operator on Bergman space of harmonic functions. J Math Anal Appl. 2016;437(2):902–911.
  • Birman MS, Solomjak MZ. Estimates of singular values of the integral operators. Uspekhi Mat Nauk. 1977;T32(193):17–84.
  • Gohberg IC, Krein MG. Introduction to the theory of linear nonselfadjoint operators. Providence (RI): American Mathematical Society; 1969. (Translations of mathematical monographs, Vol. 18).
  • Range RM. Holomorphic functions and integral representations in several complex variables. Berlin: Springer; 1986.

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