Questions tagged [besov-space]

For questions on Besov spaces, which are complete quasinormal spaces.

A Besov space named after Oleg Vladimirovich Besov, is a complete quasinormal space which is a Banach space when $1 \leq p, q \leq \infty$. These spaces, as well as the similarly defined Triebel–Lizorkin spaces, serve to generalize more elementary function spaces such as Sobolev spaces and are effective at measuring regularity properties of functions.

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Showing a function belongs to a Besov space.

In this paper, just before Theorem 3 it is stated that the kernels given in equations 4a-f are in $\mathbb{B}_{pq}^s$ for all $p,q\geq 1$ and some $s>0$. This is stated without proof/reference and I cannot find any literature which explicitly shows…
Dylan Zammit
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Injecting $L_1$ into a Besov space

Can someone help me to find a counter-example that proove that $L_1$ is not injected in the homogeneous Besov space $B^{0,2}_1$ ?
Lin
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