Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE QUADRATIC HYPONORMALITY OF ONE-STEP EXTENSION OF THE BERGMAN-TYPE SHIFT

  • LI, CHUNJI (Department of Mathematics, Northeastern University) ;
  • QI, WENTAO (Department of Mathematics, Zhejiang University)
  • Received : 2020.11.09
  • Accepted : 2021.04.14
  • Published : 2022.01.30
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Abstract

Let p > 1 and α[p](x) : $\sqrt{x}$, $\sqrt{\frac{p}{^2p-1}}$, $\sqrt{\frac{2p-1}{3p-2}}$, … , with 0 < x ≤ $\frac{p}{2p-1}$. In [10], the authors considered the subnormality, n-hyponormality and positive quadratic hyponormality of Wα[p](x). By continuing to study, in this paper, we give a sufficient condition of quadratic hyponormality of Wα[p](x). Finally, we give an example to characterize the gaps of Wα[p](x) distinctively.

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References

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