## Annals of Functional Analysis

### On multipliers between bounded variation spaces

Héctor Camilo Chaparro

#### Abstract

Wiener-type variation spaces, also known as $\operatorname{BV}_{p}$-spaces ($1\leq p\lt \infty$), are complete normed linear spaces. A function $g$ is called a multiplier from $\operatorname{BV}_{p}$ to $\operatorname{BV}_{q}$ if the pointwise multiplication $fg$ belongs to $\operatorname{BV}_{q}$ for each $f\in\operatorname{BV}_{p}$. In this article, we characterize the multipliers from $\operatorname{BV}_{p}$ to $\operatorname{BV}_{q}$ for the cases $1\leq q\lt p$ and $1\leq p\leq q$.

#### Article information

Source
Ann. Funct. Anal., Volume 9, Number 3 (2018), 376-383.

Dates
Accepted: 25 July 2017
First available in Project Euclid: 6 February 2018

https://projecteuclid.org/euclid.afa/1517886230

Digital Object Identifier
doi:10.1215/20088752-2017-0047

Mathematical Reviews number (MathSciNet)
MR3835225

Zentralblatt MATH identifier
06946362

Subjects
Primary: 47B38: Operators on function spaces (general)
Secondary: 26A45: Functions of bounded variation, generalizations

#### Citation

Chaparro, Héctor Camilo. On multipliers between bounded variation spaces. Ann. Funct. Anal. 9 (2018), no. 3, 376--383. doi:10.1215/20088752-2017-0047. https://projecteuclid.org/euclid.afa/1517886230

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