Uniform convexity of paranormed generalizations of $L^p$ spaces

Justyna Jarczyk, Janusz Matkowski

For a measure space $(\Omega ,\Sigma ,\mu )$ and a bijective increasing function $\phi :\left[0,\infty \right)\to \left[0,\infty \right)$ the $L^p$-like paranormed ($F$-normed) function s…