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Compactly supported refinable distributions in Triebel-Lizorkin spaces and besov spaces

✍ Scribed by Bolin Ma; Qiyu Sun

Publisher
SP Birkhäuser Verlag Boston
Year
1999
Tongue
English
Weight
772 KB
Volume
5
Category
Article
ISSN
1069-5869

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This paper is devoted to the study of the superposition operator T f (g) := f • g in the framework of Lizorkin-Triebel spaces F s p,q (R) and Besov spaces B s p,q (R). For the case s > 1+(1/ p), 1 < p < ∞, 1 ≤ q ≤ ∞, it is natural to conjecture the following: the operator T f takes F s p,q (R) to it