w]_{p}^{0/(p-0)}F\omega_{p}\left(  \frac{f^{p}}{\sigma(X)^{p-0}F}\right)  ^{p}\omega_{p^{\prime}}\left(  \frac{(\int_{X}\phi^{p-0}wd\mu)^{p^{\prime}}}{w(X)^{p^{\prime}-0}F\omega_{p}\left(  \frac{f^{p}}{\sigma(X)^{p-0}F}\right)  ^{p}