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Results tagged with sobolev-spaces
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user 170237
A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.
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Littlewood-Paley theory and dense property of Sobolev spaces [duplicate]
I'm learning the Littlewood-Paley theory by myself and I encounter the following claim:
Pick a smooth function $\chi$ such that:
$$\chi(\xi) = \begin{cases}
1 &|\xi| \leq \frac{1}{2}\\
0 &|\xi| \geq …
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