$C^{1,1}$ Regularity Global Estimates for Homogeneous Complex Hessian Equations on Punctured Domains

Zhenghuan Gao, Xi-Nan Ma, Bao Yu +1

In this paper, we prove the $C^{1,1}$ regularity of Green functions associated with the complex $k$-Hessian operator for $1\le k<n$, and give a new proof of the corresponding regu…