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- W4297842005 abstract "Let $C_b^{k,omega}(mathbb R^n)$ be the Banach space of $C^k$ functions on $mathbb R^n$ bounded together with all derivatives of order $le k$ and with derivatives of order $k$ having moduli of continuity majorated by $ccdotomega$, $cinmathbb R_+$, for some $omegain C(mathbb R_+)$. Let $C_b^{k,omega}(S):=C_b^{k,omega}(mathbb R^n)|_S$ be the trace space to a closed subset $Ssubsetmathbb R^n$. The geometric predual $G_b^{k,omega}(S)$ of $C_b^{k,omega}(S)$ is the minimal closed subspace of the dual $bigl(C_b^{k,omega}(mathbb R^n)bigr)^*$ containing evaluation functionals of points in $S$. We study geometric properties of spaces $G_b^{k,omega}(S)$ and their relations to the classical Whitney problems on the characterization of trace spaces of $C^k$ functions on $mathbb R^n$." @default.
- W4297842005 created "2022-10-01" @default.
- W4297842005 creator A5004010557 @default.
- W4297842005 date "2016-07-16" @default.
- W4297842005 modified "2023-09-25" @default.
- W4297842005 title "On Properties of Geometric Preduals of ${mathbf C^{k,omega}}$ Spaces" @default.
- W4297842005 doi "https://doi.org/10.48550/arxiv.1607.04824" @default.
- W4297842005 hasPublicationYear "2016" @default.
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