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Talk:Trudinger's theorem

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Why used in statement of theorem?

[edit]

I'm puzzled about the use of in the theorem. The problem is that nothing seems to depend on . For example,

becomes

when you substitute . Then the imbedding

exists for all according to the statement of the theorem as I understand it. Surely, if this is true, then there is a better way to state the theorem? -- KarlHallowell (talk) 04:38, 28 June 2009 (UTC)[reply]