Zulip Chat Archive

Stream: maths

Topic: Hölder spaces


Floris van Doorn (Oct 21 2023 at 14:02):

Do we already have Hölder spaces in mathlib? @Heather Macbeth claims here that @Yury G. Kudryashov has defined them, but I cannot find them in mathlib. I only found Hölder-continuous functions: docs#HolderWith

Heather Macbeth (Oct 21 2023 at 15:57):

I think you're probably right, but let's see what Yury says

Yury G. Kudryashov (Oct 22 2023 at 14:39):

I didn't define the spaces.

Yury G. Kudryashov (Oct 22 2023 at 14:39):

I was going to do that, then got distracted.

Yury G. Kudryashov (Oct 22 2023 at 15:05):

If you're going to define them, are you going to use (n, r) as a parameter or an ENNReal (with a norm instance for finite r)?

Yury G. Kudryashov (Oct 22 2023 at 15:06):

The difference is that C^{2+1} says "C^2 and Lipschitz second derivative" while C^3 is stronger.


Last updated: Dec 20 2023 at 11:08 UTC