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The Radon-Nikodym Theorem for a Nonabsolute Integral on Measure Spaces

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Abstract

We prove the Radon-Nikod'{y}m theorem for a nonabsolute integralon measure spaces endowed with metric topologies and hence providea descriptive definition of the integral.

참고문헌 (8)

  1. "{\it Lanzhou Lectures on HenstockIntegration} {\it On $ACG^{*}$ Functions}", pp.754~
  2. "it Measurability and the Henstock Integral", 94, pp.99~106 (1995)
  3. "{\it Integration of Highly Oscillatory Functions in the Plane}" (1990)
  4. "{\it The Radon-ikod\'{y}m Theorem for the Henstock Integral in Euclidean Space}", (2), pp.677~687 (1996)
  5. "{\it On Necessary Conditions for Henstock Integrability}", pp.522~ (1992)
  6. "{\it A Nonabsolite Integral on Measure Spaces that Includes the Davies-McShane Integral}", (2), pp.147~155 (2001)
  7. "{\it Nonabsolute Integral on Measure Spaces}", (1), pp.34~38 (2000)
  8. "{\it Theory of the Integral}" (1937)

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