Sharp Estimates and Extrapolation for Multilinear Weight Classes

Doctoral thesis (2020)

Authors

Z. Nieraeth Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2021 Z. Nieraeth
DOI
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https://doi.org/10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648
Hardy-Littlewood maximal operator Sparse domination Banach function space Bilinear Hilbert transform Calderón-Zygmund operator Limited range Muckenhoupt weights Multilinear Rubio de Francia extrapolation UMD
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Published Date

2020

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.