Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels

C. Cascante, J. M. Ortega, I. E. Verbitsky

We study trace inequalities of the type $$\Vert T_{k}f{\Vert }_{L^q(d\mu )}\le C\Vert f{\Vert }_{L^p(d\sigma )},f\in L^p(d\sigma ),$$ in the ``upper triangle case'' $1\le q<p$ for integral operators $…