Abstract
The subject of this thesis is the study of the multilinear Muckenhoupt weight classes and the quantitative boundedness of operators with respect to these weights in both the scalar-valued and the vector-valued setting. This includes the study of multisublinear Hardy-Littlewood maximal operators, sparse forms, and multilinear Rubio de Francia extrapolation methods.
Original language | English |
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Qualification | Doctor of Philosophy |
Awarding Institution |
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Supervisors/Advisors |
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Award date | 13 Jan 2021 |
Print ISBNs | 978-94-6421-169-6 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Banach function space
- Bilinear Hilbert transform
- Calderón-Zygmund operator
- Hardy-Littlewood maximal operator
- Limited range
- Muckenhoupt weights
- Multilinear
- Rubio de Francia extrapolation
- UMD
- Sparse domination