On a product-type operator from Zygmund-type spaces to Bloch-Orlicz spaces

Abstract

The boundedness and compactness of a product-type operator from Zygmund-type spaces to Bloch-Orlicz spaces are investigated in this paper. Primary 47B38; secondary 47B33; 47B37 MSC:

Riemann-Stieltjes Operators Between Zygmund-Type Spaces

“…to the classical Zygmund space. For some results on B α , Z α and a variety of operators on them, see, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Suppose that ( ) g H ∈  .…”

Product-Type Operators on the Space of Fractional Cauchy Transforms

“…Jiang [28] considered the boundedness and compactness of the operator T u 1 ,u 2 ,φ from the Zygmund spaces to the Bloch-Orlicz spaces. Li and Guo [29] studied the boundedness and compactness of the operator T u 1 ,u 2 ,φ from Zygmund-type spaces to Bloch-Orlicz spaces.…”

Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces

“…Recently, Ramos Fernández used Young's functions to define the Bloch-Orlicz space in [8], which is a generalization of the Bloch space (cf. [3,16]). More precisely, let ϕ : [0, +∞) → [0, +∞) be an N-function, that is, ϕ is a strictly increasing convex function with ϕ(0) = 0, which implies that lim t→∞ ϕ(t) = +∞.…”