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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Estimating norms of derivatives

Let $(M,g)$ be a closed, compact Riemannian manifold. Let $u$ be a smooth function. Let $H^{-k}(M)$,, $k$ is a positive integer, be the dual Hilbert space of $H^{k}(M)$. Does it follow that $|| |\nabl …
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