Abstract
Abstract: In this paper, we introduce the concepts of central -block and block spaces over the -adic field. The duality and Fatou property of such spaces are examined. We also study mapping properties of -adic Hardy-Hilbert-type integral operators in the framework of such block spaces. As an application, we also establish -adic Hardy, Hilbert, and Hardy-Littlewood-Pólya inequalities for block spaces.
| Original language | English |
|---|---|
| Article number | 27 |
| Pages (from-to) | 1-15 |
| Number of pages | 15 |
| Journal | P-Adic Numbers, Ultrametric Analysis, and Applications |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 2025 |
Keywords
- -adic field
- block spaces
- integral operator
- Morrey spaces
ASJC Scopus subject areas
- General Mathematics