Weighted iterated radial composition operators from logarithmic Bloch spaces to weighted‐type spaces on the unit ball. (21st November 2021)

• Record Type: Journal Article
• Authors: Stević, Stevo; Jiang, Zhi‐jie
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 5(2022)
• Page Start: 3083
• Page End: 3097
• Publication Date: 2021-11-21
• Subjects: boundedness -- compactness -- logarithmic Bloch space -- weighted iterated radial composition operators -- weighted‐type space; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7978
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Let M u be the multiplication operator with symbol u which is a holomorphic function on the open unit ball 𝔹 in ℂ n, C φ the composition operator with symbol φ which is a holomorphic self‐map of 𝔹, and ℜ m, m ∈ ℕ, the m th iterated radial derivative operator. The boundedness and compactness of the weighted iterated radial composition operator ℜ u, φ m : = M u C φ ℜ m from logarithmic Bloch spaces to weighted‐type spaces are characterized.