Chinese Quarterly Journal of Mathematics ›› 1992, Vol. 7 ›› Issue (4): 56-62.

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A Sufficient Condition for Interolation by Functions in AP(φ)(1<P<∞)

  

  1. Dept. of Math. Peking University,Henan University,,100871,Kaifeng
  • Received:1991-03-05 Online:1992-12-30 Published:2025-06-20
  • Supported by:
     Supported by the Doctoral Program Foundation of Institute of Higher Education.

Abstract:  Let φ be a normal function on [0,1) and A'(φ)(1P(|·|)/(1-|·|2).A sufficient condition for interpolation by functions in AP(φ) is obtained by controlling norms of linear operators.

Key words: Normal, weighted Bergman space, pseudo-hyperbolic metric, interpolation