Characterizations of harmonic quasiregular mappings in function spaces

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Jihua Sun, J. Liu, Zhi-Gang Wang
Cited by: 0

Abstract

We study conjugate-type phenomena for complex-valued harmonic quasiregular mappings in the unit disk across three function space families: $Q(n,p,α)$, $F(p,q,s)$, and the non-derivative $M(p,q,s)$. For a harmonic $K$-quasiregular mapping $f=u+iv$, we first show that if the real part $u$ belongs to $Q_h(1,p,α)$ (with $α>-1$ and $α+1

Fields of Study & Subjects

Analytic and geometric function theory Holomorphic and Operator Theory Meromorphic and Entire Functions

Publication details

Journal / source
arXiv (Cornell University)
Publication date
3 January 2026
Document type
Preprint