Abstract
In this dissertation we develop vector-valued harmonic analysis methods. Particular emphasis is put on the study of stochastic singular integral operators, which arise naturally in the study of SPDE.
Original language | English |
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Qualification | Doctor of Philosophy |
Awarding Institution |
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Supervisors/Advisors |
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Thesis sponsors | |
Award date | 22 Mar 2021 |
Print ISBNs | 978-94-6421-244-0 |
Electronic ISBNs | 978-94-6421-244-0 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Sparse domination
- Muckenhoupt weight
- Hardy–Littlewood maximal operator
- Space of homogeneous type
- SPDE
- Singular stochastic integral operator
- Stochastic maximal regularity
- UMD Banach space
- Banach function space
- Factorization
- Tensor extension
- Fourier multiplier