Zygmund's growth condition on the real part is sufficient, and in a natural class necessary, for a harmonic quasiregular mapping to belong to the Hardy space h1.
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Zygmund's theorem for harmonic quasiregular mappings
Zygmund's growth condition on the real part is sufficient, and in a natural class necessary, for a harmonic quasiregular mapping to belong to the Hardy space h1.