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Matematicheskie Trudy, 2011, Volume 14, Number 1, Pages 158–194 (Mi mt211)  
This article is cited in 3 scientific papers (total in 3 papers)

A characterization of multipliers in the Hedberg–Netrusov spaces

A. I. Parfenov

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (416 kB) Citations (3)
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Abstract: We expose a criterion of the membership of a function in the space of pointwise multipliers between the Hedberg–Netrusov spaces. The criterion is stated in terms of a pair of discrete weighted inequalities. Connections of the criterion with the problem of rectifiability of Lipschitz surfaces are established.
Key words: Hedberg–Netrusov space, Lizorkin–Triebel space, pointwise multiplier.
Received: 07.06.2010
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 1, Pages 13–40
DOI: https://doi.org/10.3103/S1055134412010026
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: A. I. Parfenov, “A characterization of multipliers in the Hedberg–Netrusov spaces”, Mat. Tr., 14:1 (2011), 158–194; Siberian Adv. Math., 22:1 (2012), 13–40
Citation in format AMSBIB
\Bibitem{Par11}
\by A.~I.~Parfenov
\paper A characterization of multipliers in the Hedberg--Netrusov spaces
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 1
\pages 158--194
\mathnet{http://mi.mathnet.ru/mt211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858662}
\elib{https://elibrary.ru/item.asp?id=16441660}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 1
\pages 13--40
\crossref{https://doi.org/10.3103/S1055134412010026}
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    • This publication is cited in the following 3 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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    Abstract page:482
    Full-text PDF :145
    References:80
    First page:7
     
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