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- W4289233500 abstract "We prove that all the composition operators $T_f(g):= fcirc g$, which take the Adams-Frazier space $W^{m}_{p}cap dot{W}^{1}_{mp}(mathbb{R}^n)$ to itself, are continuous mappings from $W^{m}_{p}cap dot{W}^{1}_{mp}(mathbb{R}^n)$ to itself, for every integer $mgeq 2$ and every real number $1leq p<+infty$. The same automatic continuity property holds for Sobolev spaces $W^m_p(mathbb{R}^n)$ for $mgeq 2$ and $1leq p<+infty$." @default.
- W4289233500 created "2022-08-01" @default.
- W4289233500 creator A5010433127 @default.
- W4289233500 creator A5089020480 @default.
- W4289233500 date "2018-12-01" @default.
- W4289233500 modified "2023-10-15" @default.
- W4289233500 title "Continuity of composition operators in Sobolev spaces" @default.
- W4289233500 doi "https://doi.org/10.48550/arxiv.1812.00212" @default.
- W4289233500 hasPublicationYear "2018" @default.
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