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The L^p-norms of the Beurling-Ahlfors transform on radial functions
- Source :
- Ann. Acad. Sci. Fenn. Math. 42 (2017), 73-93
- Publication Year :
- 2015
-
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 Os\c{e}kowski, and Volberg for $1<p\leq 2$.<br />Comment: 19 pages
Details
- Database :
- arXiv
- Journal :
- Ann. Acad. Sci. Fenn. Math. 42 (2017), 73-93
- Publication Type :
- Report
- Accession number :
- edsarx.1511.07861
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.5186/aasfm.2017.4204