Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

On Uniform Integrability

  • Rim, Dong Il (Department of Mathematics Chungbuk National University)
  • Received : 1991.06.30
  • Published : 1991.06.30
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Abstract

In this paper, we show that uniform integrability is equivalent to convergence to a ${\mu}$-integrable function f in $L_1$ for ${\mu}$-integrable functions in the sense of the integral defined by Lewis.

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