대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제37권3호
  • /
  • Pages.437-450
  • /
  • 2000
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 2000.08.01
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초록

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.

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참고문헌

  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