Abstract
This paper extends the study of the generalized Lorentz spaces to the Lorentz–Herz spaces. The Lorentz–Herz spaces consist of all Lebesgue measurable functions such that theirs non-increasing rearrangements belong to the weighted Herz space. The main result of this paper establishes the mapping properties of the Hardy–Littlewood maximal function on the Lorentz–Herz spaces. Copyright © 2024 The Author(s).
| Original language | English |
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| Pages (from-to) | 561-572 |
| Journal | Arabian Journal of Mathematics |
| Volume | 13 |
| Early online date | Sept 2024 |
| DOIs | |
| Publication status | Published - Dec 2024 |