Seminars: R. A. Sharipov, Hessian measures in the class of $m$-convex functions

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) May 16, 2024 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Hessian measures in the class of $m$-convex functions R. A. Sharipov Urgench State University named after Al-Khorezmi
Abstract: In this talk we show a number of important properties of the class of $m-cv$ functions, in particular, we study Hessians ${{H}^{k}}(u)$, $k=1,2,\ldots,n-m+1$, in the class of bounded $m-cv$ functions by using the connection of $m-cv$ functions with $m$-subharmonic $s{{h}_{m}}$ functions and using well-known and rich properties of $s{{h}_{m}}$ functions. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09