Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON n-HYPONOHRMALITY FOR BACKWARD EXTENSIONS OF BERGMAN WEIGHTED SHIFTS

  • DONG, YANWU (Department of Mathematics, Zhanjiang Preschool Education College(Fundamental Education College of Lingnan Normal University)) ;
  • ZHENG, GUIJUN (Department of Mathematics, Zhanjiang Preschool Education College(Fundamental Education College of Lingnan Normal University)) ;
  • LI, CHUNJI (Department of Mathematics, Northeastern University)
  • Received : 2020.05.02
  • Accepted : 2021.02.09
  • Published : 2021.05.30
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Abstract

In this paper, we discuss the backward extensions of Bergman shifts Wα(m), where $${\alpha}(m)\;:\;\sqrt{\frac{m}{m+1}},\;{\sqrt{\frac{m+1}{m+2}}},\;{\cdots},\;(m{\in}\mathbb{N})$$. We obtained a complete description of the n-hynonormality for backward one, two and three step extensions.

Keywords

Acknowledgement

The first and second authors were supported by key scientific research projects in Zhanjiang Preschool Education College(ZJYZZD201801).

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