Please use this identifier to cite or link to this item:
http://hdl.handle.net/10362/174216| Title: | A necessary condition for the boundedness of the maximal operator on Lp(·) over reverse doubling spaces of homogeneous type |
| Author: | Karlovych, O. Shalukhina, A. |
| Keywords: | 28C15 42B25 46E30 Borel-semiregular measure reverse doubling condition space of homogeneous type The Hardy–Littlewood maximal operator variable Lebesgue space Analysis Mathematics(all) |
| Issue Date: | Mar-2025 |
| Abstract: | Let (X,d,μ) be a space of homogeneous type and p(·):X→[1,∞] be a variable exponent. We show that if the measure μ is Borel-semiregular and reverse doubling, then the condition essinfx∈Xp(x)>1 is necessary for the boundedness of the Hardy–Littlewood maximal operator M on the variable Lebesgue space Lp(·)(X,d,μ). |
| Description: | Funding Information: Open access funding provided by FCT |FCCN (b-on). Publisher Copyright: © The Author(s) 2024. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10362/174216 |
| DOI: | https://doi.org/10.1007/s10476-024-00053-6 |
| ISSN: | 0133-3852 |
| Appears in Collections: | FCT: DM - Artigos em revista internacional com arbitragem científica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A_necessary_condition_for_the_boundedness.pdf | 417,82 kB | Adobe PDF | View/Open |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
