Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups (Q1329042)

Let \(G\) be a compact connected semisimple Lie group, and for \(\delta>0\) let \((D_ R^ \delta)_{R>0}\) denote the Bochner-Riesz kernel on \(G\). We establish some results on the boundedness of the operators \(S_ R^ \delta: f\to f*D_ R^ \delta\) on the Hardy spaces \(H^ p(G)\), which we use to study the approximation behaviour of \(H^ p(G)\)-functions by their Bochner-Riesz means.