Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON STRONG Mα-INTEGRAL OF BANACH-VALUED FUNCTIONS

  • You, Xuexiao (School of Mathematics and Statistics Hubei Normal University) ;
  • Cheng, Jian (School of Mathematics and Statistics Hubei Normal University) ;
  • Zhao, Dafang (School of Mathematics and Statistics Hubei Normal University)
  • Received : 2012.03.16
  • Accepted : 2013.04.04
  • Published : 2013.05.15
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Abstract

In this paper, we define the Banach-valued strong $M_{\alpha}$-integral and study the primitive of the strong $M_{\alpha}$-integral in terms of the $M_{\alpha}$-variational measures. We also prove that every function of bounded variation is a multiplier for the strong $M_{\alpha}$-integral.

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References

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