Properties Of A Class Of Weakly Quasisymmetric Mappings On Broad Domains

This paper studies the properties of weakly(L,M)-quasisymmetric mappings in the Broad domains.The main content is divided into two parts.The first part is the relevant definitions and lemmas required.It mainly introduces weakly(L,M)-quasisy-mmetric mappings,?-quasisymmetric mappings,weakly H-quasisymmetric mappi-ngs and their relationships.The second part is the properties of arc-connected subsets of domains under weakly(L,M)-quasisymmetric mappings.