A characterization of a nonlinear integral triangle inequality

Ahmed A. Abdelhakim

Let $(E,\Vert .\Vert )$ be a Banach space and let $(\Omega ,\mu )$ be a Lebesgue measure space. We characterize, for all $p>0$, measurable functions $u:\Omega \to \mathbb{R}$ for which \begin{equ…