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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 143–156 (Mi tm240)  
This article is cited in 5 scientific papers (total in 5 papers)

On Density Properties of the Riesz Capacities and the Analytic Capacity γ+γ+

P. Mattilaa, P. V. Paramonovb

a University of Jyväskylä
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (213 kB) Citations (5)
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Abstract: We prove rather precise results on density properties of the Riesz capacities in RN and the analytic capacity γ+ in R2.
Received in March 2001
Bibliographic databases:
UDC: 517.956.224+517.53
Language: English
Citation: P. Mattila, P. V. Paramonov, “On Density Properties of the Riesz Capacities and the Analytic Capacity γ+”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 143–156; Proc. Steklov Inst. Math., 235 (2001), 136–149
Citation in format AMSBIB
\Bibitem{MatPar01}
\by P.~Mattila, P.~V.~Paramonov
\paper On Density Properties of the Riesz Capacities and the Analytic Capacity~$\gamma _+$
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 143--156
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886579}
\zmath{https://zbmath.org/?q=an:1002.31002}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 136--149
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  • https://www.mathnet.ru/eng/tm/v235/p143
    • This publication is cited in the following 5 articles:
    1. M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Conditions for Cm-approximability of functions by solutions of elliptic equations”, Russian Math. Surveys, 67:6 (2012), 1023–1068  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. Hansen W., Netuka I., “Convexity properties of harmonic measures”, Adv. Math., 218:4 (2008), 1181–1223  crossref  mathscinet  zmath  isi  scopus
    3. Kaiser T., “Capacity in subanalytic geometry”, Illinois J. Math., 49:3 (2005), 719–736  crossref  mathscinet  zmath  isi
    4. Mateu J., Tolsa X., “Riesz transforms and harmonic Lip1-capacity in Cantor sets”, Proc. London Math. Soc. (3), 89:3 (2004), 676–696  crossref  mathscinet  zmath  isi  scopus
    5. Tolsa X., “Painlevé's problem and the semiadditivity of analytic capacity”, Acta Math., 190:1 (2003), 105–149  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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