On an Integral Operator From the Zygmund Space to the Bloch-Type Space on the Unit Ball

Abstract

Abstract. In this paper, we introduce an integral operator on the unit ball ‫ނ‬ ⊂ ‫ރ‬ n . The boundedness and compactness of the operator from the Zygmund space to the Bloch-type space B μ ‫)ނ(‬ or the little Bloch-type space B μ,0 ‫)ނ(‬ are investigated.

Products of composition and differentiation operators from Zygmund spaces to Bloch spaces and Bers spaces

“…Operators D C u and C u D as well as some other products of linear operators were studied, for example, in [3][4][5][6][7][8]11,14,15,[17][18][19]21,22,[24][25][26][27][28][31][32][33] (see also the references therein).…”

Closed range properties of Li–Stević integral-type operators between Bloch-typespaces and their essential norms

“…Integral operators of the type I g C φ and C φ I g and other similar types of operators have been studied by several authors between different spaces of analytic functions on the unit disk of complex plane C or the unit ball of the complex vector space C n . See, for example, [12,14,16,22,[25][26][27][28][29] and the references therein. In this paper, weighted composition operators and Li-Stević integral-type operators are mainly considered between weighted-type spaces of analytic functions and Bloch-type spaces, defined as follows.…”

Generalized product-type operators from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces

“…The product W ϕ,ψ D n can be regarded as a generalization of W ϕ,ψ D. For some other product-type operators, see, for example, [10,[18][19][20][21][34][35][36][37][38]41,42,44,47,[51][52][53]56,57] and the references therein. This paper is devoted to characterizing the boundedness and compactness of generalized product-type operators D n W ϕ,ψ and W ϕ,ψ D n from weighted Bergman-Orlicz spaces to Bloch-Orlicz spaces.…”