  We calculate the norms of the operators connected to the action of the
Beurling-Ahlfors transform on radial function subspaces introduced by
Ba\~nuelos and Janakiraman. In particular, we find the norm of the
Beurling-Ahlfors transform acting on radial functions for $p>2$, extending the
results obtained by Ba\~nuelos and Janakiraman, Ba\~nuelos and Os\c{e}kowski,
and Volberg for $1<p\leq 2$.

Classical Analysis and ODEs;Probability