Averaged derivatives characterize Hardy spaces H^p for quasiregular mappings of finite multiplicity and relate them to BMO spaces and Carleson measures on the ball.
Rajala,The local homeomorphism property of spatial quasiregular mappings with distortion close to one, Geom
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Hardy spaces and quasiregular mappings: averaged derivatives and the $\mathbb{BMO}$ case
Averaged derivatives characterize Hardy spaces H^p for quasiregular mappings of finite multiplicity and relate them to BMO spaces and Carleson measures on the ball.