Vector-valued harmonic analysis with applications to SPDE

Research output: ThesisDissertation (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 languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • Veraar, M.C., Supervisor
  • van Neerven, J.M.A.M., Advisor
Thesis sponsors
Award date22 Mar 2021
Print ISBNs978-94-6421-244-0
Electronic ISBNs978-94-6421-244-0
DOIs
Publication statusPublished - 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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