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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 286, Pages 62–73 (Mi znsl1567)  
This article is cited in 4 scientific papers (total in 4 papers)

Criteria of the removable sets for the weighted spaces of garmonic functions

I. N. Demshin, V. A. Shlyk

Far Eastern National University
Full-text PDF (216 kB) Citations (4)
Abstract: Sharp functional, capacity, and metric characteristics of removable sets for harmonic functions without fluxions in the weighted space Lp,ω1 with the Muckenhoupt weight are found.
Received: 26.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 6, Pages 3616–3622
DOI: https://doi.org/10.1023/B:JOTH.0000035236.55791.17
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: I. N. Demshin, V. A. Shlyk, “Criteria of the removable sets for the weighted spaces of garmonic functions”, Analytical theory of numbers and theory of functions. Part 18, Zap. Nauchn. Sem. POMI, 286, POMI, St. Petersburg, 2002, 62–73; J. Math. Sci. (N. Y.), 122:6 (2004), 3616–3622
Citation in format AMSBIB
\Bibitem{DemShl02}
\by I.~N.~Demshin, V.~A.~Shlyk
\paper Criteria of the removable sets for the weighted spaces of garmonic functions
\inbook Analytical theory of numbers and theory of functions. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 286
\pages 62--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937368}
\zmath{https://zbmath.org/?q=an:1081.31004}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 6
\pages 3616--3622
\crossref{https://doi.org/10.1023/B:JOTH.0000035236.55791.17}
Linking options:
  • https://www.mathnet.ru/eng/znsl1567
  • https://www.mathnet.ru/eng/znsl/v286/p62
    • This publication is cited in the following 4 articles:
    1. V. A. Shlyk, “Оn the problem of decomposition and composition of normal rings”, J. Math. Sci. (N. Y.), 207:6 (2015), 940–944  mathnet  crossref
    2. Yu. V. Dymchenko, V. A. Shlyk, “Sufficiency of Polyhedral Surfaces in the Modulus Method and Removable Sets”, Math. Notes, 90:2 (2011), 204–217  mathnet  crossref  crossref  mathscinet  isi
    3. P. A. Pugach, V. A. Shlyk, “Removable sets for the generalized module of surface's family”, J. Math. Sci. (N. Y.), 184:6 (2012), 755–769  mathnet  crossref
    4. V. N. Dubinin, D. B. Karp, V. A. Shlyk, “Izbrannye zadachi geometricheskoi teorii funktsii i teorii potentsiala”, Dalnevost. matem. zhurn., 8:1 (2008), 46–95  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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