Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces Over Spaces of Homogeneous Type
| dc.contributor | Ferguson, Tim | |
| dc.contributor | Moen, Kabe | |
| dc.contributor | Rodney, Scott | |
| dc.contributor.advisor | Cruz-Uribe, David | |
| dc.contributor.author | Cummings, Jeremy | |
| dc.contributor.other | University of Alabama Tuscaloosa | |
| dc.date.accessioned | 2022-04-13T20:33:44Z | |
| dc.date.available | 2022-04-13T20:33:44Z | |
| dc.date.issued | 2020 | |
| dc.description | Electronic Thesis or Dissertation | en_US |
| dc.description.abstract | Given a space of homogeneous type $(X,\mu,d)$, we prove strong-type weighted norm inequalities for the Hardy-Littlewood maximal operator over the variable exponent Lebesgue spaces $L^\pp$. We prove that the variable Muckenhoupt condition $\App$ is necessary and sufficient for the strong type inequality if $\pp$ satisfies log-H\"older continuity conditions and $1 < p_- \leq p_+ < \infty$. Our results generalize to spaces of homogeneous type the analogous results in Euclidean space proved in [14]. | en_US |
| dc.format.medium | electronic | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.other | http://purl.lib.ua.edu/176881 | |
| dc.identifier.other | u0015_0000001_0003675 | |
| dc.identifier.other | Cummings_alatus_0004M_14220 | |
| dc.identifier.uri | https://ir.ua.edu/handle/123456789/8380 | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | University of Alabama Libraries | |
| dc.relation.hasversion | born digital | |
| dc.relation.ispartof | The University of Alabama Electronic Theses and Dissertations | |
| dc.relation.ispartof | The University of Alabama Libraries Digital Collections | |
| dc.rights | All rights reserved by the author unless otherwise indicated. | en_US |
| dc.subject | Harmonic analysis | |
| dc.subject | Maximal operator | |
| dc.subject | Variable Lebesgue Spaces | |
| dc.subject | Weighted estimates | |
| dc.title | Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces Over Spaces of Homogeneous Type | en_US |
| dc.type | thesis | |
| dc.type | text | |
| etdms.degree.department | University of Alabama. Department of Mathematics | |
| etdms.degree.discipline | Mathematics | |
| etdms.degree.grantor | The University of Alabama | |
| etdms.degree.level | master's | |
| etdms.degree.name | M.A. |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- u0015_0000001_0003675.pdf
- Size:
- 413.71 KB
- Format:
- Adobe Portable Document Format