The Lp-norms of the Beurling-Ahlfors transform on radial functions
Abstract
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 Osekowski, and Volberg for 1<p≤ 2.
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