In this paper, by introducting a weight coefficient of the form: π/sin(π/r)-1/10(2n+1)^1+1/r(r > 1, n ∈ N0),Hardy-Hilbert's inequality is refined. As its
In this paper we first prove the PBW theorem for reduced universal enveloping algebras of restricted Lie superalgebras. Then the notion of an induced module is