Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (1): 56-64.

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COMPACT TOEPLITZ OPERATORS ON Ap (φ)(1<p<∞)

Xiao Jie   

  1. Dept. of Math., Peking Univ., Beijing 100871, China
  • Received:1991-05-10 Online:1993-03-25 Published:1993-03-25
  • Supported by:
    Supported by Doctoral Program Foundation of Higher Education.

Abstract: Let φ be a normal function defined on[0, 1) and Ap(φ) Bergman space weighted with φp(|z|)/(1-|z|2) for 1 ≤ p<∞. The compactnesses of Toeplitz operaters on Ap(φ) are characterized by Carleson measures and operator algebra.

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