A remark on the Hölder regularity of solutions to the complex Hessian equation
arXiv:2407.13130
Abstract
We prove that the Dirichlet problem for the complex Hessian equation has the Hölder continuous solution provided it has a subsolution with this property. Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we remove the assumption on the finite total mass of the measure on the right hand side.
13 pages, updated references. This is the final version, to appear in JFA