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- W2029412937 abstract "Let $C^{m, omega} ( mathbb{R}^n)$ be the space of functions on $mathbb{R}^n$ whose $m^{sf th}$ derivatives have modulus of continuity $omega$. For $E subset mathbb{R}^n$, let $C^{m , omega} (E)$ be the space of all restrictions to $E$ of functions in $C^{m , omega} ( mathbb{R}^n)$. We show that there exists a bounded linear operator $T: C^{m , omega} ( E ) rightarrow C^{m , omega } ( mathbb{R}^n)$ such that, for any $f in C^{m , omega} ( E )$, we have $T f = f$ on $E$." @default.
- W2029412937 created "2016-06-24" @default.
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- W2029412937 date "2009-01-01" @default.
- W2029412937 modified "2023-09-29" @default.
- W2029412937 title "Extension of $C^{m, omega}$-Smooth Functions by Linear Operators" @default.
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- W2029412937 doi "https://doi.org/10.4171/rmi/568" @default.
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