Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions. (29th June 2015)

• Record Type: Journal Article
• Authors: Iida, Yasuo; Kasuga, Kazuhiro
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-06-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/598538
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In (Iida and Kasuga 2013), the authors described multiplicative (but not necessarily linear) isometries ofM p ( X ) ontoM p ( X ) in the case of positive integerp ∈ N, whereM p ( X ) ( p ≥ 1 ) is included in the Smirnov classN ∗ ( X ) . In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents0 < p < ∞ .