Vector-valued harmonic analysis with applications to SPDE

E. Lorist

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

Vector-valued harmonic analysis with applications to SPDE

E. Lorist

Analysis

Research output: Thesis › Dissertation (TU Delft)

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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.

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	Delft University of Technology
Supervisors/Advisors	Veraar, M.C., Supervisor van Neerven, J.M.A.M., Advisor
Thesis sponsors	Netherlands Organisation for Scientific Research (NWO)
Award date	22 Mar 2021
Print ISBNs	978-94-6421-244-0
Electronic ISBNs	978-94-6421-244-0
DOIs	https://doi.org/10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42
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

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

Dissertation Emiel LoristFinal published version, 1.97 MBLicence: CC BY-NC-ND

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title = "Vector-valued harmonic analysis with applications to SPDE",

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.",

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",

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year = "2021",

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AB - 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.

KW - Sparse domination

KW - Muckenhoupt weight

KW - Hardy–Littlewood maximal operator

KW - Space of homogeneous type

KW - SPDE

KW - Singular stochastic integral operator

KW - Stochastic maximal regularity

KW - UMD Banach space

KW - Banach function space

KW - Factorization

KW - Tensor extension

KW - Fourier multiplier

U2 - 10.4233/uuid:c3b05a34-b399-481c-838a-f123ea614f42

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

M3 - Dissertation (TU Delft)

SN - 978-94-6421-244-0

ER -

Vector-valued harmonic analysis with applications to SPDE

Abstract

Keywords

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