Compactness of multiplication operators on Riesz bounded variation spaces

In: Tatra Mountains Mathematical Publications, vol. 78, no. 1

Martha Guzmán-Partida

Detaily:

Rok, strany: 2021, 167 - 174

Jazyk: eng

Kľúčové slová:

Riesz bounded variation, multiplication operator, compactness.

Typ článku: Mathematics

DOI: https://doi.org/10.2478/tmmp-2021-0012

Full text

O článku:

We prove compactness of the operator $M_hC_g$ on a subspace of the space of $2π$-periodic functions of Riesz bounded variation on $[-π, π]$, for appropriate functions $g$ and $h$. Here $M_h$ denotes multiplication by $h$ and $C_g$ convolution by $g$.

Ako citovať:

ISO 690:

Guzmán-Partida, M. 2021. Compactness of multiplication operators on Riesz bounded variation spaces. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 167-174. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0012

APA:

Guzmán-Partida, M. (2021). Compactness of multiplication operators on Riesz bounded variation spaces. Tatra Mountains Mathematical Publications, 78(1), 167-174. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0012

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 14. 10. 2021

Verejná licencia:

https://creativecommons.org/licenses/by-nc-nd/4.0/