Weighted iterated radial composition operators from weighted Bergman–Orlicz spaces to weighted‐type spaces on the unit ball. (30th March 2021)

• Record Type: Journal Article
• Authors: Stević, Stevo; Jiang, Zhi‐jie
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 11(2021)
• Page Start: 8684
• Page End: 8696
• Publication Date: 2021-03-30
• Subjects: holomorphic function -- metrical boundedness -- Bergman–Orlicz space -- weighted iterated radial composition operator -- weighted‐type space; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7298
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Let H ( 𝔹 n ) be the set of all holomorphic functions on the open unit ball 𝔹 n in ℂ n, φ a holomorphic self‐map of 𝔹 n, u ∈ H ( 𝔹 n ), and ℜ m the m th iterated radial derivative operator on H ( 𝔹 n ) . We characterize the metrical boundedness and metrical compactness of the weighted iterated radial composition operator ℜ u, φ m from the weighted Bergman–Orlicz space to the weighted‐type space.