Difference between revisions of "Talk:Lipschitz condition"
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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. [[User:Camillo.delellis|Camillo]] ([[User talk:Camillo.delellis|talk]]) 13:51, 14 December 2012 (CET) | 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. [[User:Camillo.delellis|Camillo]] ([[User talk:Camillo.delellis|talk]]) 13:51, 14 December 2012 (CET) | ||
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| + | : Yes, if I mean $\alpha<1$ I say either "Holder" or "Lipschitz alpha"; but I am not sure about the literature. --[[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 15:04, 14 December 2012 (CET) | ||
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| + | :: The literature in partial differential equations (at least the one I know :-)) uses mostly "Holder": "Holder spaces", "Holder seminorms", "Holder conditions"... [[User:Camillo.delellis|Camillo]] ([[User talk:Camillo.delellis|talk]]) 17:00, 14 December 2012 (CET) | ||
Latest revision as of 16:00, 14 December 2012
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)
How to Cite This Entry:
Lipschitz condition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lipschitz_condition&oldid=29201
Lipschitz condition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lipschitz_condition&oldid=29201