Sobolev Spaces
The Soblev spaces are space of functions wich derivate up to order k belongs to L
p, formally
W
k, p = {f∈L
p | D
α f ∈L
p, |∈|≤k}
Sobolev espaces are subespaces of L
p, in particular.
W
k, p ⊂ L
p
from this viewpoint
L
p = W
0,p
Also, there is a definition in the Fourier Coefficents framework, if f^
n is the n-th Fourier coefficient, then
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