Journal of Siberian Federal University. Mathematics & Physics / On the H¨older Continuity of Weighted m-extremal Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Kuldoshev, Kobiljon; Rakhimov, Karim
Contact information
Kuldoshev, Kobiljon: National University of Uzbekistan Tashkent, Uzbekistan; OCRID: 0009-0000-6695-3582; Rakhimov, Karim: V. I. Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences Tashkent, Uzbekistan; OCRID: 0009-0000-6695-3582
Keywords
m-subharmonic function; weighted m-Green function; weighted m-subharmonic measure
Abstract

In this paper, we prove that if the weighted m-subharmonic measure of compact K are H¨older continuous with respect to K, then it is H¨older continuous everywhere

Pages
809–818
EDN
WDMWJW
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/157496