Young's functional with Lebesgue-Stieltjes integrals

Milan Merkle, Dan Marinescu, Monica Moulin Ribeiro Merkle +2

For non-decreasing real functions $f$ and $g$, we consider the functional $ T(f,g ; I,J)=\int_{I} f(x)\di g(x) + \int_J g(x)\di f(x)$, where $I$ and $J$ are intervals with $J\subse…