Hardy Spaces for Quasiregular Mappings and Composition Operators
Hardy Spaces for Quasiregular Mappings and Composition Operators
Abstract We define Hardy spaces $${\mathcal {H}}^p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mi>p</mml:mi> </mml:msup> </mml:math> for quasiregular mappings in the plane, and show that for a particular class of these mappings many of the classical properties that hold in the classical setting of analytic mappings still hold. This particular …