Article

Potential theory in the class of m-subharmonic functions

Azimbay SadullaevNational University of Uzbekistan named after Mirzo Ulugbek, Vuzgorodok, Tashkent, 100174, UzbekistanB. I. AbdullaevUrgench State University named after al-Khorezmi, H. Olimjon str., Urgench, 740000, Uzbekistan

Proceedings of the Steklov Institute of Mathematicsjournal2012en

ABI

Abstract

A potential theory for the equation (dd c u)m ∧ β n−m = fβ n , 1 ≤ m ≤ n, is developed. The corresponding notions of m-capacity and m-subharmonic functions are introduced, and their properties are studied.

Topics

Geometry and complex manifolds Geometric Analysis and Curvature Flows Advanced Differential Geometry Research

Identifiers

DOI: 10.1134/s0081543812080111

Citations and references

Cited by 10 28 references

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