Algebraic property of weighted Lebesgue spaces on a class of hypergroups

In this paper, in the context of an important class of locally compact hypergroups, namely Kρ, which were introduced by Dunkl and Ramirez, we find some sufficient conditions on a weight (wₙ)ₙ₌₀^∞⊆ (0,∞) such that the set{equation*}\{((f_k)_k,(g_k)_k)∈ L^p(Kρ)× L^q(Kρ):∑ₖ₌₁^∞ |f_kg_k|w_k^2\,ρ ᵏ⁻¹<∞\}{equation*}is a σ-c-lower porous set.