|
This article is cited in 4 scientific papers (total in 4 papers)
On Analytic Multifunctions
A. S. Sadullaev
Al-Kharezmi Urgench State University, Khorezm, Uzbekistan
Abstract:
For any multifunction $S\subset D_z\times\mathbb{C}_w$, we give a criterion for analyticity (pseudoconcavity) in terms of plurisubharmonicity of the function $V(z,w)=-\ln\rho(w,S_z)$, where $\rho(w,S_a)$ stands for the distance from the point $w$ to the set $S_a=S\capż=a\}$.
Keywords:
analytic multifunction, subharmonic function, pseudoconcavity, pseudoconvexity, plurisubharmonicity, pluripolarity, capacity of a set, Hartogs series
DOI:
https://doi.org/10.4213/mzm4136
 Full text:
PDF file (438 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 2008, 83:5, 652–656
Bibliographic databases:
    
UDC:
517.55
Received: 26.03.2007
Revised: 14.01.2008
Citation:
A. S. Sadullaev, “On Analytic Multifunctions”, Mat. Zametki, 83:5 (2008), 715–721; Math. Notes, 83:5 (2008), 652–656
Citation in format AMSBIB
\Bibitem{Sad08}
\by A.~S.~Sadullaev
\paper On Analytic Multifunctions
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 5
\pages 715--721
\mathnet{http://mi.mathnet.ru/mz4136}
\crossref{https://doi.org/10.4213/mzm4136}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2451360}
\zmath{https://zbmath.org/?q=an:1155.32300}
\elib{http://elibrary.ru/item.asp?id=11566605}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 5
\pages 652--656
\crossref{https://doi.org/10.1134/S0001434608050088}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000257399900008}
\elib{http://elibrary.ru/item.asp?id=13589361}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-46749143816}
Linking options:
http://mi.mathnet.ru/eng/mz4136https://doi.org/10.4213/mzm4136 http://mi.mathnet.ru/eng/mz/v83/i5/p715
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Azimbaj S. Sadullaev, “Some Problems in the Theory of Analytic Multifunctions”, Zhurn. SFU. Ser. Matem. i fiz., 1:4 (2008), 432–434
 -
Aytuna A., Sadullaev A., “Parabolic Stein Manifolds”, Math. Scand., 114:1 (2014), 86–109
-
Aytuna A., Sadullaev A., “Polynomials on parabolic manifolds”, Topics in Several Complex Variables, Contemporary Mathematics, 662, eds. Ibragimov Z., Levenberg N., Pinchuk S., Sadullaev A., Amer Mathematical Soc, 2016, 1–22
-
A. Sadullaev, “Prodolzhenie analiticheskikh i plyurigarmonicheskikh funktsii po zadannomu napravleniyu metodom E. M. Chirki (obzor)”, Sovremennye problemy matematiki i fiziki, SMFN, 65, no. 1, Rossiiskii universitet druzhby narodov, M., 2019, 83–94
|
| Number of views: |
| This page: | 267 | | Full text: | 95 | | References: | 23 | | First page: | 7 |
|
Terms of Use