doiSerbia

On an integral-type operator from Qk(p,q) spaces to α-bloch spaces

Pan Chunping (Zhejiang Industry Polytechnic College, Shaoxing, Zhejiang, China)

Let g ∈ H(D), n be a nonnegative integer and φ be an analytic self-map of D. We study the boundedness and compactness of the integral operator Cn φ,g, which is defined by Cn φ,g f)(z) = ∫z0 f(n)(φ(ξ))g(ξ)dξ, z∈D, f∈H(D), from QK(p,q) and QK,0(p,q) spaces to α-Bloch spaces and little α-Bloch spaces.

Keywords: QK (p,q) space, α-Bloch space, integral-type operator