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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
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
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
Linking options:
https://www.mathnet.ru/eng/mt178 https://www.mathnet.ru/eng/mt/v12/i1/p144
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Abstract page: | 505 | Full-text PDF : | 121 | References: | 83 | First page: | 5 |
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