Talk:Lipschitz condition

I would add that the terminology "Lipschitz function" usually refers to functions satisfying (1) for $\alpha = 1$. Also, the notation $H^\alpha$ is commonly used for the Sobolev spaces $W^{\alpha, 2}$ and hence I would change that as well. Camillo (talk) 13:51, 14 December 2012 (CET)

Yes, if I mean $\alpha<1$ I say either "Holder" or "Lipschitz alpha"; but I am not sure about the literature. --Boris Tsirelson (talk) 15:04, 14 December 2012 (CET)

The literature in partial differential equations (at least the one I know :-)) uses mostly "Holder": "Holder spaces", "Holder seminorms", "Holder conditions"... Camillo (talk) 17:00, 14 December 2012 (CET)