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Matematicheskie Trudy, 2009, Volume 12, Number 2, Pages 139–159 (Mi mt185)  
This article is cited in 4 scientific papers (total in 4 papers)

A criterion for the straightening of a Lipschitz surface in the Lizorkin–Triebel sense. II

A. I. Parfenov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (269 kB) Citations (4)
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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.
Key words: Lipschitz domain, the Lizorkin–Triebel space, trace, straightening, dyadic cube.
Received: 17.12.2008
English version:
Siberian Advances in Mathematics, 2010, Volume 20, Issue 3, Pages 201–216
DOI: https://doi.org/10.3103/S1055134410030053
Bibliographic databases:
UDC: 517.518.234
Language: Russian
Citation: A. I. Parfenov, “A criterion for the straightening of a Lipschitz surface in the Lizorkin–Triebel sense. II”, Mat. Tr., 12:2 (2009), 139–159; Siberian Adv. Math., 20:3 (2010), 201–216
Citation in format AMSBIB
\Bibitem{Par09}
\by A.~I.~Parfenov
\paper A criterion for the straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~II
\jour Mat. Tr.
\yr 2009
\vol 12
\issue 2
\pages 139--159
\mathnet{http://mi.mathnet.ru/mt185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2599429}
\transl
\jour Siberian Adv. Math.
\yr 2010
\vol 20
\issue 3
\pages 201--216
\crossref{https://doi.org/10.3103/S1055134410030053}
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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