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