## Abstract and Applied Analysis

### Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

Hong Rae Cho

#### Abstract

For $1\le p\le \infty$ and $s>0,$ let ${\Lambda }_{s}^{p}$ be holomorphic mean Lipschitz spaces on the unit ball in ${\Bbb C}^{n}$. It is shown that, if $s>n/\mathrm{p,}$ the space ${\Lambda }_{s}^{p}$ is a multiplicative algebra. If $s>n/p$, then the space ${\Lambda }_{s}^{p}$ is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of ${\Lambda }_{n/p}^{p}$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 869256, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495751

Digital Object Identifier
doi:10.1155/2012/869256

Mathematical Reviews number (MathSciNet)
MR2947658

Zentralblatt MATH identifier
1248.32004

#### Citation

Cho, Hong Rae. Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball. Abstr. Appl. Anal. 2012 (2012), Article ID 869256, 15 pages. doi:10.1155/2012/869256. https://projecteuclid.org/euclid.aaa/1355495751

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