# Thread: Integration theory; metric spaces

1. ## 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.

2. ## 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?

3. ## 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