Abstract
We prove that the Grand Lebesgue Space built on a unimodular locally compact topological group, equipped with bi-invariant Haar measure, forms a Banach algebra relative to the convolution.
| Original language | English |
|---|---|
| Pages (from-to) | 1702-1714 |
| Number of pages | 13 |
| Journal | Mathematische Nachrichten |
| Volume | 294 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2021 |
Bibliographical note
Publisher Copyright:© 2021 Wiley-VCH GmbH
Funding
The first named author has been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) and by Università degli Studi di Napoli Parthenope through the project “sostegno alla Ricerca individuale”.
| Funders |
|---|
| Istituto Nazionale di Alta Matematica "Francesco Severi" |
| Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni |
| Università degli Studi di Napoli Parthenope |
Keywords
- Grand Lebesgue Spaces
- Haar measure
- Lebesgue–Riesz space
- Young inequality
- beta-function
- convolution
- locally compact topological groups
- modulus of continuity
- unimodular group
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