Products of integral-type operators and composition operators between Bloch-type spaces

Abstract

A complete picture on the boundedness and compactness of the products of integral-type operators and composition operators between Bloch-type spaces of holomorphic functions on the unit disk is given in this paper.

On an integral-type operator from the Bloch space into the QK(p,q) space

“…Some related results can be found, for example, in [5,7,8,13,16,17,19,30,31]. For related operators in n-dimensional case, see [9,15,18,[20][21][22].…”

On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball

“…Let g ∈ H(D) and ϕ be a holomorphic self-map of D. Products of integral and composition operators on H(D) were introduced by S. Li and S. Stević in a private communication (see, e.g., [23,24] and [25], as well as related paper [20]) as follows…”

Products of integral-type and composition operators from generally weighted Bloch space to F(p,q,s) space

“…For some information on the operators I φ and J φ and their n-dimensional extensions, see, for example [6,7,8,9,13,14,16,18,19,20,21,22,24,25,26] as well as the related references therein. Let g ∈ H(D) and ϕ be a holomorphic self-map of D. Products of integral and composition operators on H(D) were introduced by S. Li and S. Stević (see [6], [11], [12], [15], as well as closely related operators in [10] and [23]) as follows…”