The equivalence among three Kantorovich type inequalities (Role of Operator Inequalities in Operator Theory)
Mariko Giga · Kyoto University Research Information Repository (Kyoto University) · 2005
First we discuss H\"older-McCarthy type inequality and Kantorovich type inequality including the case that the exponents of $(T^{p}x, x)$ and $($ Tic, $x)^{q}$ are different.Among three regions of p-q plane, we derive these inequalities in a region from those in the other regions.