RUS  ENG
Full version
JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive
J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 2, Pages 253–264 (Mi jsfu1075)
Green's function on a parabolic analytic surface

Azimbay S. Sadullaeva, Khursandbek K. Kamolovb

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

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.

UDC: ÓÄÊ~517.55

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

Language: English



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024