대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권2호
  • /
  • Pages.387-396
  • /
  • 2005
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME DUALITY OF WEIGHTED BERGMAN SPACES OF THE HALF-PLANE

  • KANG, SI-HO (DEPARTMENT OF MATHEMATICS, SOOKMYUNG WOMEN'S UNIVERSITY)
  • 발행 : 2005.05.01
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초록

In the setting of the half-plane of the complex plane, we introduce a modified reproducing kernel and we show that for $r>-1/2,\;B^{1,r}-cancellation$ property holds and the Bloch space is the dual space of $B^{1,r}$.

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참고문헌

  1. S. Axler, P. Bourdon, and W. Ramey, Harmonic function theory, Springer-Verlag, New York, 1992
  2. H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman spaces, Springer-Verlag, New York, 2000
  3. S. H. Kang, Weighted Bloch spaces and some operators induced by radial derivatives, to appear
  4. S. H. Kang and J. Y. Kim, The radial derivatives on weighted Bergman spaces, Commun. Korean Math. Soc. 18 (2003), no. 2, 243-249 https://doi.org/10.4134/CKMS.2003.18.2.243
  5. J. Y. Kim, Weighted analytic Bergman spaces of the half plane and their Toeplitz operators, Ph. D. Thesis, Sookmyung Women's University, 2001

피인용 문헌

  1. On Toeplitz Operators on the Weighted Harmonic Bergman Space on the Upper Half-Plane vol.9, pp.1, 2015, https://doi.org/10.1007/s11785-014-0388-9