충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제4권1호
  • /
  • Pages.121-126
  • /
  • 1991
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

On Uniform Integrability

  • Rim, Dong Il (Department of Mathematics Chungbuk National University)
  • 투고 : 1991.06.30
  • 발행 : 1991.06.30
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초록

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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