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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 166–192 (Mi tm3431)  
This article is cited in 54 scientific papers (total in 54 papers)

Potential theory in the class of $m$-subharmonic functions

A. Sadullaeva, B. Abdullaevb

a National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
b Urgench State University named after al-Khorezmi, Urgench, Uzbekistan
Full-text PDF (336 kB) Citations (54)
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Abstract: A potential theory for the equation $(dd^\mathrm cu)^m\wedge\beta^{n-m}=f\beta^n$, $1\le m\le n$, is developed. The corresponding notions of $m$-capacity and $m$-subharmonic functions are introduced, and their properties are studied.
Received in April 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 155–180
DOI: https://doi.org/10.1134/S0081543812080111
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.57+517.957
Language: Russian
Citation: A. Sadullaev, B. Abdullaev, “Potential theory in the class of $m$-subharmonic functions”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 166–192; Proc. Steklov Inst. Math., 279 (2012), 155–180
Citation in format AMSBIB
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\by A.~Sadullaev, B.~Abdullaev
\paper Potential theory in the class of $m$-subharmonic functions
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 166--192
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086763}
\elib{https://elibrary.ru/item.asp?id=18447448}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 155--180
\crossref{https://doi.org/10.1134/S0081543812080111}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000011}
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  • https://www.mathnet.ru/eng/tm/v279/p166
    • This publication is cited in the following 54 articles:
    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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