Traces of 𝐶^{𝑘} functions on weak Markov subsets of ℝⁿ

Brudnyĭ, A.; Brudnyĭ, Yu.

doi:10.1090/S1061-0022-2011-01185-9

Traces of $C^k$ functions on weak Markov subsets of $\mathbb R^n$
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by A. Brudnyĭ and Yu. Brudnyĭ
Translated by: the authors

St. Petersburg Math. J. 23 (2012), 39-56

DOI: https://doi.org/10.1090/S1061-0022-2011-01185-9

Published electronically: November 7, 2011

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Abstract:

A wide class of closed subsets of $\mathbb {R}^n$ is introduced; these subsets admit constructive $C^{k,\omega }$ extensions with good bounds for the corresponding extension constants.

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