Sharp Estimates and Extrapolation for Multilinear Weight Classes

None, None

doi:10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648

Sharp Estimates and Extrapolation for Multilinear Weight Classes

Doctoral Thesis (2020)

Author(s)

Z. Nieraeth (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

D. Frey – Promotor (TU Delft - Electrical Engineering, Mathematics and Computer Science)

M.C. Veraar – Promotor (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

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

DOI related publication

https://doi.org/10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648 Final published version

To reference this document use

https://doi.org/10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648

More Info

expand_more

Publication Year

2020

Language

English

Research Group

Analysis

ISBN (print)

978-94-6421-169-6

Downloads counter

542

Collections

Institutional Repository

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

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.

Files

DissertationZoe.pdf

(pdf | 1.32 Mb)

Unspecified