Vector-valued harmonic analysis with applications to SPDE

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doi:10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42

Vector-valued harmonic analysis with applications to SPDE

Doctoral Thesis (2021)

Author(s)

E. Lorist (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

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

DOI related publication

https://doi.org/10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42 Final published version

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https://doi.org/10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42

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Publication Year

2021

Language

English

Research Group

Analysis

ISBN (print)

978-94-6421-244-0

ISBN (electronic)

978-94-6421-244-0

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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.

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Dissertation_Emiel_Lorist.pdf

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