Sharp Estimates and Extrapolation for Multilinear Weight Classes

Z. Nieraeth

Research output: ThesisDissertation (TU Delft)

4 Downloads (Pure)

Abstract

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
Supervisors/Advisors
  • Frey, D., Supervisor
  • Veraar, M.C., Supervisor
Award date13 Jan 2021
Print ISBNs978-94-6421-169-6
DOIs
Publication statusPublished - 2020

Keywords

  • 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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