## Nagoya Mathematical Journal

### Pointwise multipliers for Campanato spaces on Gauss measure spaces

#### Abstract

In this paper, the authors characterize pointwise multipliers for Campanato spaces on the Gauss measure space $(\mathbb{R}^{n},|\cdot|,\gamma)$, which includes $\operatorname{BMO}(\gamma)$ as a special case. As applications, several examples of the pointwise multipliers are given. Also, the authors give an example of a nonnegative function in $\operatorname{BMO}(\gamma)$ but not in $\operatorname{BLO}(\gamma)$.

#### Article information

Source
Nagoya Math. J., Volume 214 (2014), 169-193.

Dates
First available in Project Euclid: 25 March 2014

https://projecteuclid.org/euclid.nmj/1395747184

Digital Object Identifier
doi:10.1215/00277630-2647739

Mathematical Reviews number (MathSciNet)
MR3211822

Zentralblatt MATH identifier
1293.42011

#### Citation

Liu, Liguang; Yang, Dachun. Pointwise multipliers for Campanato spaces on Gauss measure spaces. Nagoya Math. J. 214 (2014), 169--193. doi:10.1215/00277630-2647739. https://projecteuclid.org/euclid.nmj/1395747184

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