Acta mathematica scientia,Series A

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Factorization of Analytic Function of Order Less Than

Deng Guantie   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875
  • Received:2005-03-18 Revised:2006-03-27 Online:2007-02-25 Published:2007-02-25
  • Contact: Deng Guantie

Abstract: In this paper, the author proves that an analytic function of order less than 2 in a half plane can be factored into the product of the three functions: weighted Blaschke product, weighted singular inner function and weighted outer function. This is a generalization of the classical factorization about analytic functions in the Hardy space.

Key words: Analytic function, Half plane, Factorization

CLC Number: 

  • 30E20
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