Sharp Hardy-Littlewood-Sobolev inequalities on a class of H-type groups
Sharp Hardy-Littlewood-Sobolev inequalities on a class of H-type groups
This report is based on a talk given by the author in the Laurent Schwartz seminar at IHÉS, Paris, on February 16, 2016. This involves joint works with Michael Christ and Heping Liu [CLZ16a, CLZ16b, LZ15]. We review several sharp Hardy-Littlewood-Sobolev-type inequalities (HLS) on I-type groups (rank one), which is …