Sharp Estimates and Extrapolation for Multilinear Weight Classes

Z. Nieraeth

Research output: ThesisDissertation (TU Delft)

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The subject of this thesis is the study of the multilinear Muckenhoupt weight classes and the quantitative boundedness of operators with respect to these weights in both the scalar-valued and the vector-valued setting. This includes the study of multisublinear Hardy-Littlewood maximal operators, sparse forms, and multilinear Rubio de Francia extrapolation methods.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
  • Frey, D., Supervisor
  • Veraar, M.C., Supervisor
Award date13 Jan 2021
Print ISBNs978-94-6421-169-6
Publication statusPublished - 2020


  • Banach function space
  • Bilinear Hilbert transform
  • Calderón-Zygmund operator
  • Hardy-Littlewood maximal operator
  • Limited range
  • Muckenhoupt weights
  • Multilinear
  • Rubio de Francia extrapolation
  • UMD
  • Sparse domination


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