\(L^p\) regularity of weighted Szegő projections on the unit disc (Q2516662)

The authors study the behavior of the Szegő projection onto weighted Hardy spaces \(H^p({\mathbb T},\mu)\). It is proved that given \(p_0>2\), there exists a weight \(\mu\) on \({\mathbb T}\) such that the weighted Szegő projection is bounded on \(L^p({\mathbb T},\mu)\) if and only if \(q_0<p<p_0\), where \(1/q_0=1-1/p_0\).