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Potential theory on an analytic surface

Vestnik Udmurtskogo universiteta. Matematika, mekhanika, kompʹi͡u︡ternye nauki, 2023-03, Vol.33 (1), p.3-16 [Peer Reviewed Journal]

ISSN: 1994-9197 ;EISSN: 2076-5959 ;DOI: 10.35634/vm230101

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  • Title:
    Potential theory on an analytic surface
  • Author: Abdullaev, B.I. ; Kamolov, Kh.Q.
  • Is Part Of: Vestnik Udmurtskogo universiteta. Matematika, mekhanika, kompʹi͡u︡ternye nauki, 2023-03, Vol.33 (1), p.3-16
  • Description: The work is devoted to the theory of pluripotential on analytic surfaces. The pluripotential theory on the complex space ${\mathbb C}^{n},$ as well as on the Stein complex manifold $X\subset{\mathbb C}^{N}$ (without a singular set) have been studied in enough detail. In this work, we propose a new approach for studying the main objects of potential theory on an analytic set with a non-empty singular (critical) set.
  • Language: English
  • Identifier: ISSN: 1994-9197
    EISSN: 2076-5959
    DOI: 10.35634/vm230101
  • Source: Math-Net.Ru (free access)
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