Azimbay S. Sadullaev, Khursandbek K. Kamolov, “Green's function on a parabolic analytic surface”, J. Sib. Fed. Univ. Math. Phys., 16:2 (2023), 253

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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 2, Pages 253–264 (Mi jsfu1075)

Green's function on a parabolic analytic surface

Azimbay S. Sadullaev^a, Khursandbek K. Kamolov^b

^a National University of Uzbekistan, Tashkent, Uzbekistan
^b Urgench State University, Urgench, Uzbekistan

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Abstract: The class of plurisubharmonic functions on a complex parabolic surface is considered in this paper. The concepts of the Green's function and pluripolar set are also introduced and their potential properties are studied.

Keywords: parabolic manifold, parabolic surface, regular parabolic surface, Green's function, pluripolar set.

Received: 10.09.2022
Received in revised form: 16.11.2022
Accepted: 20.01.2023

Bibliographic databases:

Document Type: Article

UDC: УДК~517.55

Language: English

Citation: Azimbay S. Sadullaev, Khursandbek K. Kamolov, “Green's function on a parabolic analytic surface”, J. Sib. Fed. Univ. Math. Phys., 16:2 (2023), 253–264

Citation in format AMSBIB

\Bibitem{SadKam23}

\by Azimbay~S.~Sadullaev, Khursandbek~K.~Kamolov

\paper Green's function on a parabolic analytic surface

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2023

\vol 16

\issue 2

\pages 253--264

\mathnet{http://mi.mathnet.ru/jsfu1075}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4576470}

\edn{https://elibrary.ru/RXMMFV}

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