Some new iterated Hardy-type inequalities
Summary: We characterize the validity of the Hardy-type inequality \(||\, || \int^\infty_s h(z)dz ||_{p, u, (0, t)} ||_{q, w, (0, \infty)} \leq c ||h||_{\theta, v(0, \infty)}\), where \(0 < p < \infty\), \(0 < q \leq \infty\), \(1 < \theta \leq \infty\), \(u\), \(w\) and \(v\) are weight functions on \((0, \infty)\). Some fairly new discretizing and antidiscretizing techniques of independent interest are used.
discretizing and antidiscretizing techniques
scientific article; zbMATH DE number 6134548