Vector-valued harmonic analysis with applications to SPDE

Doctoral thesis (2021)

Authors

E. Lorist Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2021 E. Lorist
DOI
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https://doi.org/10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42
Fourier multiplier UMD Banach space Factorization Sparse domination Muckenhoupt weight Hardy–Littlewood maximal operator Space of homogeneous type SPDE Singular stochastic integral operator Stochastic maximal regularity Banach function space Tensor extension
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Published Date

2021

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.