Generalized Weighted Composition Operators From Area Nevanlinna Spaces to Bloch-Type Spaces

A New Characterization of Generalized Weighted Composition Operators from the Bloch Space into the Zygmund Space

“…From (30) and (31) we see that 3 is finite. Similarly, from (25) and (29) we can obtain that 1 and 2 are finite as well.…”

Stevic-Sharma operators from area Nevanlinna spaces to Bloch-Orlicz type spaces

“…If p = 1, it becomes the weighted Bergman-Nevanlinna space. For some results on these spaces and some concrete operators on them can be found, for example, in [20,25,26] and the references therein.…”

“…The generalized weighted composition operators D n ϕ,ψ f = ψf (n) • ϕ from area Nevanlinna spaces to weighted-type spaces and Bloch-type spaces were studied in [25] and [26], respectively. By constructing some more suitable test functions in the area Nevanlinna space, in this paper we characterize the boundedness and compactness of the Stević-Sharma operator from the area Nevanlinna space to the Bloch-orlicz space and the little Bloch-Orlicz space.…”

Product-Type Operators From Weighted Bergman-Orlicz Spaces to Weighted Zygmund Spaces

“…For some other producttype operators, see, for example [7,12,15,24,25,27,29,33,39,41] and the references therein. This paper is devoted to characterizing the boundedness and compactness of the operator W ϕ,ψ D from weighted Bergman-Orlicz spaces to weighted Zygmund spaces.…”