Abstract:Let
Ω
\Omega
be a simply connected domain in
C
\mathbb {C}
and let
0
>
p
>
∞
0>p>\infty
. We show that there is a quasiconformal mapping
f
f
from the unit disk
D
\mathbb {D}
onto
Ω
\Omega
which is in the Hardy space
H
p
H^p
.
We furthermore show that either all quasiconformal mappings from
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