An improved Hardy's inequality associated with the Laguerre Fourier transform
The authors derive Hardy inequalities for functions in the Hardy space \(H^p(K)\) for \(0<p\leq 1\) and for the Laguerre hypergroups on \(K:=[0,\infty[\times\mathbb R\) depending on the index \(\alpha\) of the hypergroups. These examples include certain orbit hypergroups associated with Heisenberg groups.
scientific article; zbMATH DE number 6175269