Geodesic
A criterion for the straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~II
Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 139-159

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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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     author = {A. I. Parfenov},
     title = {A criterion for the straightening of {a~Lipschitz} surface in the {Lizorkin--Triebel} {sense.~II}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {139--159},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2009_12_2_a6/}
}
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A. I. Parfenov. A criterion for the straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~II. Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 139-159. http://geodesic.mathdoc.fr/item/MT_2009_12_2_a6/