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Matematicheskie Trudy, 2009, Volume 12, Number 1, Pages 144–204 (Mi mt178)  
This article is cited in 7 scientific papers (total in 7 papers)

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

A. I. Parfenov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (544 kB) Citations (7)
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Abstract: 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.
Key words: Lipschitz domain, dyadic cube, trace, straightening, Lizorkin–Triebel space.
Received: 08.05.2008
English version:
Siberian Advances in Mathematics, 2010, Volume 20, Issue 2, Pages 83–127
DOI: https://doi.org/10.3103/S1055134410020021
Bibliographic databases:
UDC: 517.518.234
Language: Russian
Citation: A. I. Parfenov, “A criterion for straightening of a Lipschitz surface in the Lizorkin–Triebel sense. I”, Mat. Tr., 12:1 (2009), 144–204; Siberian Adv. Math., 20:2 (2010), 83–127
Citation in format AMSBIB
\Bibitem{Par09}
\by A.~I.~Parfenov
\paper A criterion for straightening of a~Lipschitz surface in the Lizorkin--Triebel sense.~I
\jour Mat. Tr.
\yr 2009
\vol 12
\issue 1
\pages 144--204
\mathnet{http://mi.mathnet.ru/mt178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2569651}
\transl
\jour Siberian Adv. Math.
\yr 2010
\vol 20
\issue 2
\pages 83--127
\crossref{https://doi.org/10.3103/S1055134410020021}
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    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:81
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