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Math Help - Integration theory; metric spaces

  1. #1
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    Integration theory; metric spaces

    I need some help with this exercise:



    I hope it's readable, it was too complex for me to write in latex.
    Thanks in advance!
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  2. #2
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    Re: Integration theory; metric spaces

    You are given a pretty good hint. What is "Minkowski's inequality"? What happens when you try to apply it?
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  3. #3
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    Re: Integration theory; metric spaces

    can one assume fi and gi is in L^p(product measure space), and how does the L^p norm of this space look?

    minkowski is ||f + g||p <= ||f||p + ||g||p but the product space confuses me
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