  For a symplectic isotopy on the two-dimensional disc we show that the
classical spectral invariants of Viterbo [20] can be extended in a meaningful
way to {\it non-compactly} supported Hamiltonians. We establish some basic
properties of these extended invariants and as an application we show that
Hutchings' inequality in [8] between the Calabi invariant and the mean action
spectrum holds without any assumptions on the isotopy; in [8] it is assumed
that the Calabi invariant is less than the rotation number (or action) on the
boundary.
