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We determine the trace of Besov spaces B s p,q (ฮฉ) and Triebel-Lizorkin spaces F s p,q (ฮฉ), characterized via atomic decompositions, on the boundary of C k domains ฮฉ for parameters 0 < p, q โค โ and s > 1 p . The limiting case s = 1 p is investigated as well. In terms of Besov spaces our results remain valid for the classical spaces B s p,q (ฮฉ) defined via differences. Furthermore, we include some density assertions, which imply that the trace does not exist when s < 1 p .
๐ SIMILAR VOLUMES
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