Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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TOEPLITZ OPERATORS ON WEIGHTED ANALYTIC BERGMAN SPACES OF THE HALF-PLANE

  • Kang, Si-Ho (Department of Mathematics, Sookmyung Women's University,) ;
  • Kim, Ja-Young (Department of Mathematics, Sookmyung Women's University)
  • Published : 2000.08.01
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Abstract

On the setting of the half-plane H={x+iy$\mid$y>0} of the complex plane, we study some properties of weighted Bergman spaces and their duality. We also obtain some characterizations of compact Toeplitz operators.

Keywords

References

  1. Pitman Research Notes in Math. v.171 Bergman Spaces and Their Operators, Surveys of Some Recent Results in Operator Theory, 1 S.Axler
  2. Harmonic Function Theory S.Axler;P.Bourdon;W.Ramey
  3. Comm.Korean.Math.Soc. v.14 no.1 Toeplitz Operators on Bergman Spaces defined on upper planes S.H.Kang;J.Y.Kim
  4. Integral Equations and Operator Theory v.27 Toplitz Operators on Harmonic Bergman Spaces J.Miao
  5. Operator Theory in Function Sjpaces K.Zhu