Seminars: K. K. Kuldoshev, Regularity and Hölder continuity of weighted $m$-subharmonic measures

SEMINARS


Functional analysis and its applications October 16, 2025 10:30

Regularity and Hölder continuity of weighted $m$-subharmonic measures K. K. Kuldoshev National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: In this talk, we investigate weighted $m$-subharmonic measures within the class of $m$-subharmonic functions. We establish several results concerning $(m,\psi)$-regularity. In particular, we show that if the weighted $(m,\psi)$-subharmonic measure is Hölder continuous with respect to a compact set, then it remains Hölder continuous in $D$. This result is new even in the unweighted case. Language: English Website: https://us06web.zoom.us/j/3836418273