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20152026
most citedTwo dimensional magnets: Forgotten history and recent progress towards spintronic applications

234 citations

Showing math.CVShow all

7 papers · 1 filter

math.CV2025★ 3 cited

Note on real and imaginary parts of harmonic quasiregular mappings

Suman Das, Antti Rasila

If is analytic in the unit disk , it is known that the integral means and have the same order of growth. This is false if is a (compl…

math.CV2025

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…

math.CV2024★ 1 cited

Gabriel's problem for harmonic Hardy spaces

Suman Das

We obtain inequalities of the form where is harmonic in the unit disk , …

math.CV2024

On angular limits of quasiregular mappings

Jie Huang, Antti Rasila, Matti Vuorinen

We investigate Lindelöf and Koebe type boundary behavior results for bounded quasiregular mappings in -dimensional Euclidean space. Our results give sufficient conditions for th…

math.CV2021★ 10 cited

Circular arc polygons, numerical conformal mappings, and moduli of quadrilaterals

Mohamed Nasser, Oona Rainio, Antti Rasila +4

We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs and compute the moduli of quadrilaterals for these domains.…

math.CV2020

Boundary Schwarz lemma for harmonic mappings having zero of order

Xiao-Jin Bai, Jie Huang, Jian-Feng Zhu

Suppose is a sense-preserving harmonic mapping of the unit disk such that and has a zero of order at . In this…

math.CV2020★ 1 cited

On a subclass of starlike functions associated with a vertical strip domain

Yong Sun, Zhi-Gang Wang, Antti Rasila +1

In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. Several results concerned with integral representations, convolutions, and coef…