Let Q n denote the class of all polynomials p(z) nonvanishing in the unit disk with deg p≤n and p (0)=1, and let W n denote the class of all polynomials s(z) satisfying deg s≤n and for all p∈Q n, s*p∈Q n , where * denotes the Hadamard product. Some properties for W n and Q n are obtained.
In this paper, we give the characteristics of the coefficient multipliers from H p,G p,B p(0<p<1) and A p(0<p≤1) to G q(1≤q<∞), from G p to G q(1≤p≤q<∞).