Geodesic
Potential theory on an analytic surface
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 1, pp. 3-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: analytic set, plurisubharmonic function, ${\mathcal{P}}$-measure, maximal function.
Mots-clés : pluripolar set 
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B. I. Abdullaev; Kh. Q. Kamolov. Potential theory on an analytic surface. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/VUU_2023_33_1_a0/

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