In this talk we will introduce the Riesz conjugate functions theorem for planarharmonic K-quasiregular mappings (when 1<p≤2) and harmonic K-quasiconformal mappings (when 2<p<∞) in the unit disk. Moreover, if K=1, then our constant coincides with the classical analytic case. For the n-dimensional case (n>2), we also obtain the Riesz conjugate functions theorem for invariant harmonic K-quasiregular mappings when 1<p≤2.This is a joint work with Dr. Jianfeng Zhu.

Zoom Meeting ID: 181 155 584