We generalize the Riesz conjugate functions theorem for planar harmonic K-quasiregular mappings (when 12), we also obtain the Riesz conjugate functions theorem for invariant harmonic K-quasiregular mappings when 1

Publication: 

Advances in Mathematics, Volume 434, 1 December 2023, 109321 

http://dx.doi.org/10.1016/j.aim.2023.109321 

Author: 

Jinsong Liu 

HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China 

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China 

Email: liujsong@math.ac.cn 

Jian-Feng Zhu 

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China