대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제44권2호
  • /
  • Pages.281-290
  • /
  • 2007
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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BEREZIN TRANSFORMS AND TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE HALF-PLANE

  • Kang, Si-Ho (DEPARTMENT OF MATHEMATICS SOOKMYUNG WOMEN'S UNIVERSITY)
  • 발행 : 2007.05.31
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초록

We deal with Bergman functions defined on the half-plane. We study integral operators, and some relationship between Berezin transforms and Toeplitz operators, and also show that some Berezin transforms are Mobius invariant.

키워드

참고문헌

  1. S. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory, Graduate Texts in Mathematics, 137, Springer-Verlag, New York, 1992
  2. S. G. Gindkin, Analysis in Homogeneous Domains, (Russian) Uspehi Mat. Nauk 19 (1964), no. 4 (118), 3-92
  3. H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman Spaces, (English summary) Graduate Texts in Mathematics, 199. Springer-Verlag, New York, 2000
  4. J. Y. Kim, Weighted Analytic Bergman Spaces of the Half Plane and their Toeplitz Operators, Ph. D. Thesis, Sookmyung Women's University, 2001
  5. W. Rudin, Real and Complex Analysis, third edition, McGraw-Hill, New York, 1987

피인용 문헌

  1. Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane vol.217, pp.7, 2010, https://doi.org/10.1016/j.amc.2010.09.001