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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 $L^1_{p,\omega}$ 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}
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  • https://www.mathnet.ru/eng/znsl/v286/p62
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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