Integral Hankel operators on vector-valued \(L^2(\mathbb {R}_+,U)\) -function spaces are considered. Regularity (integrability) and compactness properties of the kernel are shown to give rise to quantifiable regularity and compactness properties of the Hankel operator, and consequently of the associated singular vectors (also called Schmidt pairs), which finds relevance in model order reduction schemes. As demonstrated, strong- Lebesgue and Sobolev spaces naturally arise in the case that U is infinite dimensional. The theory is illustrated with examples.
