On necessary condition for the variable exponent Hardy inequality
Summary: We derive a necessary condition for exponent functions \(p, \beta\) such that the variable exponent Hardy inequality \(||x^{\beta(x)-1} \int^x_0 f(t)dt||_{L^{p(.)}(0,l)} \leq C||x^{\beta(x)} f||_{L^{p(\dot)}(0,l)}\) holds.
scientific article; zbMATH DE number 6032359