On some product-type operators from area nevanlinna spaces to Zygmund-type spaces

Abstract

The boundedness and compactness of product-type operators and integral-type operators from area Nevanlinna spaces to Zygmund-type spaces and little Zygmund-type spaces are investigated

Norm and essential norm of an integral‐type operator from the logarithmic Bloch space to the Bloch‐type space on the unit ball

“…Let K ∶  log,0 →  𝜇 be compact. Then, we have lim k→+∞ ||K𝑓 k ||  𝜇 = 0, from which along with (30), and since…”

“…Product‐type operators have attracted considerable attention recently. For some other product‐type operators, see, for example, other studies 3‐7,14,16,17,29‐40 and the related references therein.…”

“…Product-type operators have attracted considerable attention recently. For some other product-type operators, see, for example, other studies [3][4][5][6][7]14,16,17,[29][30][31][32][33][34][35][36][37][38][39][40] and the related references therein. Let X and Y be Banach spaces and L ∶ X → Y be a bounded linear operator with the norm ||L|| X→Y .…”

On a linear operator between weighted‐type spaces of analytic functions

“…For some recent investigations of the boundedness and compactness of various concrete linear operators on spaces of holomorphic functions on domains in $$$ \mathrm{\mathbb{C}} $$$ or $$$ {\mathrm{\mathbb{C}}}^n $$$, see, for instance, earlier studies [3–34, 41–43, 47–50], as well as many related references quoted therein.…”

Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions

“…In [38][39][40][41][42][43][44][45] can be found several other product-type operators, some of which include integral-type ones.…”