Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball. (21st June 2012)

• Record Type: Journal Article
• Authors: Cho, Hong Rae
• Other Names: Eloe Paul Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-06-21
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/869256
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : For 1 ≤ p ≤ ∞ and s > 0, let Λ s p be holomorphic mean Lipschitz spaces on the unit ball in ℂ n . It is shown that, if s > n / p, the space Λ s p is a multiplicative algebra. If s > n / p, then the space Λ s p is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of Λ n / p p .