$L^p$ asymptotics for powers of the complex Riesz transform

Abstract: We establish the sharp behaviour of the $L^p$ norms of integer powers of the planar Riesz transform $R_2+iR_1$, and briefly discuss the estimates on $L^1$ and $L^\infty$. This is a joint work with Andrea Carbonaro and Vjekoslav Kovač.

classical analysis and ODEsfunctional analysisrepresentation theoryspectral theory

Audience: researchers in the topic

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