## Abstract and Applied Analysis

### Multiplicative Isometries on $F$-Algebras of Holomorphic Functions

#### Abstract

We study multiplicative isometries on the following $F$-algebras of holomorphic functions: Smirnov class ${N}_{\ast}(X)$, Privalov class ${N}^{p}(X)$, Bergman-Privalov class $A{N}_{\alpha }^{p}(X),$ and Zygmund $F$-algebra $N{\mathrm{log}}^{\beta }N(X),$ where $X$ is the open unit ball ${\mathrm{\Bbb B}}_{n}$ or the open unit polydisk ${\mathrm{\Bbb D}}^{n}$ in ${\Bbb C}^{n}$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 125987, 16 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495629

Digital Object Identifier
doi:10.1155/2012/125987

Mathematical Reviews number (MathSciNet)
MR2872319

Zentralblatt MATH identifier
1236.32002

#### Citation

Hatori, Osamu; Iida, Yasuo; Stević, Stevo; Ueki, Sei-Ichiro. Multiplicative Isometries on $F$ -Algebras of Holomorphic Functions. Abstr. Appl. Anal. 2012 (2012), Article ID 125987, 16 pages. doi:10.1155/2012/125987. https://projecteuclid.org/euclid.aaa/1355495629

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