Prove directly that if u W 1,p (0, 1) for some 1 < p < , then
1
1 1
|u(x) - u(y)| |x - y|1- p ( |u |p dt) p
0
for a.e. x, y [0, 1]
1
Mathematics Homework Solutions
#164109
Sobolev Spaces
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Sobolev spaces are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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