On Stević-Sharma operator from the mixed-norm spaces to Zygmund-type spaces

Abstract

Let φ be an analytic self-map of the unit disk D, H (D) the space of all analytic functions on D, and ψ1,ψ2ϵ H (D). The boundedness and compactness of Stevic-Sharma operator Tψ1,ψ2,φ f =ψ1 f oφ +ψ2 f′ o φ from the mixed-norm space H(p,q,φ) to Zygmundtype space Zμand little Zygmund-type space Zμ0are investigated in this paper.