Abstract
We study the notion of the straightening of the graph of a Lipschitz function in the Lizorkin-Triebel sense introduced by the author in the first part of the article. In all the cases, a criterion of the straightening is found in terms of a dyadic weighted inequality where oscillations of a given function on stretched dyadic cubes are involved.
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Original Russian Text © A. I. Parfenov, 2009, published in Matematicheskie Trudy, 2009, Vol. 12, No. 2, pp. 139–159.
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Parfenov, A.I. A criterion for the straightening of a Lipschitz surface in the Lizorkin-Triebel sense. II. Sib. Adv. Math. 20, 201–216 (2010). https://doi.org/10.3103/S1055134410030053
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DOI: https://doi.org/10.3103/S1055134410030053