In this paper, we first study the comparison principle for the operator H χ, m. This result is
used to solve certain weighted complex m-Hessian equations.

Maximal Subextension and Approximation of m-Subharmonic Function Page 1 Michigan Math.
J. (Advance Publication) https://doi.org/10.1307/mmj/20236392 Maximal Subextension and …

Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$
| Complex Analysis and Operator Theory Skip to main content Springer Nature Link Account …

In this paper, we first concern with the existence of solutions of the complex m− Hessian type
equation− χ (u) Hm (u)= µ where µ vanishes on all of m− polar sets in the class Em, χ (Ω) …

In this paper, we study maximal subextension of $ m $-subharmonic functions with given
boundary values. We also study the relationship between convergence in $ m $-capacity of …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. xx, No. x, pp. 1–12, xx
20xx DOI: 10.11650/tjm/241204 Complex m-Hessian Type Equations in Weighted Energy …

In this paper, we introduce the class E m, F (Ω) and solve complex m-Hessian equations in
the class E m, F (Ω). After that, we study subextension in the class E m, F (Ω) with the …

Weak solutions to the complex m-Hessian type equations for arbitrary nonnegative Radon
measures on open subsets of $${\mathbb {C}}^n$$ | Analysis and Mathematical Physics Skip …

We will study certain boundary measures related to m-subharmonic functions on m-
hyperconvex domains. These measures generalize the boundary measures studied by Wan …

In the paper, we are interested in studying the continuity of solution to the complex m-
Hessian type equation χ (.) fd μ=(ddc.) m∧(ddc‖ z‖ 2) nm, on a bounded strongly m …