What Is the \|f\|_{C^{1}} Norm?

[Smitty_687]

So, I'm working my way through a proof, which has been fine so far, except I've hit a bit of notation which has stumped me.

Essentially, I have a diffeomorphism f: \mathbb{R}^{n} \to \mathbb{R}^{n} (in this case n = 2, but I assume that's fairly irrelevant), and I have the following norm:

\| f \|_{C^{1}}

I assume it has something to do with C^{1} maps, but I haven't come across it before.

Does anyone know what it is?

 

[spamiam]

Well, it might be this. Hope it helps!

 

[Smitty_687]

Well, it might be this. Hope it helps!

Thanks for that. It's looking like my best bet at the moment.

I was sort of hoping that it would be some piece of common notation that I just hadn't come across, but it's not looking that way at the moment.