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arXiv · 1511.07861

The L^p-norms of the Beurling-Ahlfors transform on radial functions

Michał Strzelecki
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Abstract

We calculate the norms of the operators connected to the action of the Beurling-Ahlfors transform on radial function subspaces introduced by Bañuelos 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 Bañuelos and Janakiraman, Bañuelos and Osȩkowski, and Volberg for $1<p\leq 2$.

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BibTeXRIS

Michał Strzelecki. 2015-11-24. The L^p-norms of the Beurling-Ahlfors transform on radial functions. https://doi.org/10.5186/aasfm.2017.4204

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