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- W2018403483 abstract "We study the composition operator $$T_f(g):= fcirc g$$ on Besov spaces $$B_{{p},{q}}^{s}(mathbb{R })$$ . In case $$1 < p< +infty ,, 0< q le +infty $$ and $$s>1+ (1/p)$$ , we will prove that the operator $$T_f$$ maps $$B_{{p},{q}}^{s}(mathbb{R })$$ to itself if, and only if, $$f(0)=0$$ and $$f$$ belongs locally to $$B_{{p},{q}}^{s}(mathbb{R })$$ . For the case $$p=q$$ , i.e., in case of Slobodeckij spaces, we can extend our results from the real line to $$mathbb{R }^n$$ ." @default.
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- W2018403483 date "2013-05-14" @default.
- W2018403483 modified "2023-10-18" @default.
- W2018403483 title "Composition operators acting on Besov spaces on the real line" @default.
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- W2018403483 doi "https://doi.org/10.1007/s10231-013-0342-x" @default.
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