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# Reference request : Besov spaces on ubounded domains

As I am relatively new to these matters, I would like to know if you could provide me a reference for Besov spaces on unbounded domains, because when I checked the first tome of Triebel's Theory of Function Spaces, I only found the case of a smooth bounded set aside of whole or half space (in Bergh's Interpoation spaces, there is no mention neither of these spaces).

Hormander: The Analysis of Linear Partial Differential Operators II, 1983, page 13 ff.

These spaces are $B_{k,p}(\mathbb R^n)\cap \mathcal E'(X)$, where $X$ is open in $\mathbb R^n$.

O.V Besov, V.P Il'in, S.M Nikolskii. Integral Representations of Functions and Embedding Theorems. Most of results are stated for arbitrary domains $G\subset \mathbb R^n$.

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# Reference request : Besov spaces on ubounded domains

As I am relatively new to these matters, I would like to know if you could provide me a reference for Besov spaces on unbounded domains, because when I checked the first tome of Triebel's Theory of Function Spaces, I only found the case of a smooth bounded set aside of whole or half space (in Bergh's Interpoation spaces, there is no mention neither of these spaces).

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Hormander: The Analysis of Linear Partial Differential Operators II, 1983, page 13 ff.

These spaces are $B_{k,p}(\mathbb R^n)\cap \mathcal E'(X)$, where $X$ is open in $\mathbb R^n$.

Thank you very much Professor Michor! - Paul-Benjamin Apr 18 at 17:15

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