On $L^p$--$L^q$ trace inequalities

Carme Cascante, Joaquin M. Ortega, Igor E. Verbitsky

We give necessary and sufficient conditions in order that inequalities of the type $$\Vert T_{K}f{\Vert }_{L^q(d\mu )}\le C\Vert f{\Vert }_{L^p(d\sigma )},f\in L^p(d\sigma ),$$ hold for a class of integ…