A criterion for straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~I

A. I. Parfenov

Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 144-204.

Résumé

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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