The L^p-norms of the Beurling-Ahlfors transform on radial functions
classification
🧮 math.CA
math.PR
keywords
beurling-ahlforsnuelosradialtransformfunctionsjanakiramanactingaction
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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 $1<p\leq 2$.
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