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Results tagged with besov-spaces
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user 85906
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Injection of Besov spaces in $L^p$
Theorem 2.3.2 d) in Triebel says that for $- \infty < s < \infty$ we have (continuous inclusions)
$$B^s_{p,2}(\mathbb{R}^n) \subset F^s_{p,2}(\mathbb{R}^n) = H^s_p(\mathbb{R}^n) \subset B^s_{p,p}(\ma …
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Relation between a norm and norm of Besov spaces
Yes, your identities are correct. Theorem 1.14.5 in Triebel's book [T] says that $$F = (H,D(A))_{1/2,2},$$ and $(1/2,2)$-real interpolation spaces between Hilbert spaces are in fact exactly the $1/2$- …
- 2,670
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An inequality from Bessel potential space to Besov space
I think that your idea is completely correct, but the choice of $s$ and $q$ is indeed somewhat curious in the paper. However, the case $q=p$ should be sufficient for the proof to work:
We need $s$ an …
- 2,670