On Hardy Type Inequality with Non-isotropic Kernels

(Lobachevskii Journal of Mathematics, Volume XXII)

In the present paper we establish a Stein-Weiss type generalization of the Hardy type inequality with non-isotropic kernels depending on λ -distance for the spaces L_p(.)(Ω) with variable exponent p(x) in the case of bounded domains Ω in Rⁿ.