On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities (Q934278)

The author obtains the norm of a bounded selfadjoint integral operator \(T\) on \(L^2(0,\infty)\) and uses it to get a bilinear integral inequality with a best constant factor. The reader is referred to [\textit{B.--C.\thinspace Yang}, Acta Math.\ Sin., Engl.\ Ser.\ 23, No.\,7, 1311--1316 (2007; Zbl 1129.47011); Bull.\ Belg.\ Math.\ Soc.\ -- Simon Stevin 13, No.\,4, 577--584 (2006; Zbl 1128.47010)].