Let $X$ be a Banach space with dual $X^\ast$ and let $(\Omega, \Sigma, \mu)$ be a finite measure space. Suppose $f: \Omega \rightarrow X$ is weakly measurable. There ...

This is a preview. Log in through your library . Abstract With respect to a partial ordering $\ll$, the functional inequality $F(s) + tG(s) \ll F(s + t)$ arises ...