10 papers · 1 filter
Isoperimetric-type inequalities for pluriharmonic functions on the polydisc
Suman Das, Antti Rasila, Jian-Feng Zhu
We prove isoperimetric-type inequalities for complex-valued pluriharmonic functions in the unit polydisc . Denote by and $b^p_{…
Harmonic K-quasiconformal Koebe functions: construction and application to Pavlovic's problem
Zhi-Gang Wang, Xiao-Yuan Wang, Antti Rasila +1
We first construct the harmonic K-quasiconformal Koebe functions, filling a long-standing foundational gap in geometric function theory. This construction provides a unified parame…
On Koebe-type functions for harmonic quasiconformal mappings
Zhi-Gang Wang, Jia-Le Qiu, Antti Rasila
This paper studies a class of Koebe-type harmonic quasiconformal functions. It is motivated by the shear construction of Clunie and Sheil-Small [Ann. Acad. Sci. Fenn. Ser. A I Math…
Hardy spaces of harmonic quasiconformal mappings and Baernstein's theorem
Suman Das, Jie Huang, Antti Rasila
Let , , be the class of normalized -quasiconformal harmonic mappings in the unit disk. We obtain Baernstein type extremal results for the analytic an…
Hölder continuity and composition operators in pluriharmonic Bloch spaces
Jie Huang, Suman Das, Antti Rasila
We show a Hölder estimate of order for pluriharmonic Bloch mappings in the unit ball with respect to the Bergman metric. We apply this to…
On harmonic quasiregular mappings in Bergman spaces
Suman Das, Antti Rasila
A classical result of Hardy and Littlewood says that if is analytic in the unit disk and is in the harmonic Bergman space (), then i…