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Potential theory in the class of m-subharmonic functions

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Abstract

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

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Correspondence to A. Sadullaev.

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Original Russian Text © A. Sadullaev, B. Abdullaev, 2012, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Vol. 279, pp. 166–192.

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Sadullaev, A., Abdullaev, B. Potential theory in the class of m-subharmonic functions. Proc. Steklov Inst. Math. 279, 155–180 (2012). https://doi.org/10.1134/S0081543812080111

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