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Thread: A problem about total variation of complex measure

  1. March 5th 2011, 11:46 PM #1
    zzzhhh
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    A problem about total variation of complex measure

    This problem is Proposition 3.13 c. ( or Exercise 18) of Folland's "real analysis: modern techniques and their applications" in page 94, as the image below shows.

    I just have no idea how to prove. Could you please help me? Please use notions (and better notations) in this book to prove it. Thanks! The attachment contains contents of this section for reference.
    Thanks!
    Attached Thumbnails Attached Thumbnails A problem about total variation of complex measure-p93.png   A problem about total variation of complex measure-p94.png  
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