Uniform convexity, reflexivity, supereflexivity and $B$ convexity of generalized Sobolev spaces $W^{1,\Phi }$

Anna Kamińska, Mariusz Żyluk

We investigate Sobolev spaces $W^{1,\Phi }$ associated to Musielak-Orlicz spaces $L^{\Phi }$. We first present conditions for the boundedness of the Voltera operator in $L^{\Phi }$. Employing this…