Seminars: N. S. Akramov, A new capacity in the class of $m-sh$ functions defined by Laplace operator

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) January 25, 2024 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

A new capacity in the class of $m-sh$ functions defined by Laplace operator N. S. Akramov National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: In this talk we introduce a new capacity in the class of $m$-subharmonic functions by Laplace operator. We prove that the new capacity satisfies all the properties of Choquet’s capacity. Moreover, by comparing this capacity with Sadullaev—Abdullaev capacities we show that our capacity is zero if and only if the set is $m$-polar. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09