Fubini's Theorem 1


  1. Let .
    ·For ,
    ·For ,
    ·measurable
    ·measurable
    ·
        
  2. Consider measurable, and for .
    ·For , is measurable as a function of .
    ·For , is measurable as a function of .
    · is a measurable function of
    · is a measurable function of
    ·
        
        
  3. Let be a complex-valued,measurable function in integrable in .
    ·For , is integrable in as a function of .
    ·For , is integrable in as a function of .
    · is integrable in as a function of .
    · is integrable in as a function of .
    ·
        
        

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