Geodesic
A criterion for straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~I
Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 144-204

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We study the conditions when the trace of a Lizorkin–Triebel space on a Lipschitz surface coincides with the trace of this space on a hyperplane. A criterion in terms of a dyadic weighted inequality is found for a wide range of indices. 
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     author = {A. I. Parfenov},
     title = {A criterion for straightening of {a~Lipschitz} surface in the {Lizorkin--Triebel} {sense.~I}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {144--204},
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     url = {http://geodesic.mathdoc.fr/item/MT_2009_12_1_a5/}
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A. I. Parfenov. A criterion for straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~I. Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 144-204. http://geodesic.mathdoc.fr/item/MT_2009_12_1_a5/