A. Sadullaev, B. Abdullaev, “Potential theory in the class of <nobr>$m$</nobr>-subharmonic functions”, Trudy Mat. Inst. Steklova, 2012, Volume 279,Pages <nobr>166

This article is cited in 51 papers

Potential theory in the class of $m$-subharmonic functions

A. Sadullaev^a, B. Abdullaev^b

^a National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
^b Urgench State University named after al-Khorezmi, Urgench, Uzbekistan

Abstract: A potential theory for the equation $(dd^\mathrm cu)^m\wedge\beta^{n-m}=f\beta^n$, $1\le m\le n$, is developed. The corresponding notions of $m$-capacity and $m$-subharmonic functions are introduced, and their properties are studied.

UDC: 517.55+517.57+517.957

Received in April 2012