Sharp Estimates and Extrapolation for Multilinear Weight Classes

Z. Nieraeth

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

Sharp Estimates and Extrapolation for Multilinear Weight Classes

Z. Nieraeth

Analysis

Research output: Thesis › Dissertation (TU Delft)

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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 language	English
Qualification	Doctor of Philosophy
Awarding Institution	Delft University of Technology
Supervisors/Advisors	Frey, D., Supervisor Veraar, M.C., Supervisor
Award date	13 Jan 2021
Print ISBNs	978-94-6421-169-6
DOIs	https://doi.org/10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648
Publication status	Published - 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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10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648

DissertationZoeFinal published version, 1.25 MBLicence: Unspecified

Cite this

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title = "Sharp Estimates and Extrapolation for Multilinear Weight Classes",

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.",

keywords = "Banach function space, Bilinear Hilbert transform, Calder{\'o}n-Zygmund operator, Hardy-Littlewood maximal operator, Limited range, Muckenhoupt weights, Multilinear, Rubio de Francia extrapolation, UMD, Sparse domination",

author = "Z. Nieraeth",

year = "2020",

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language = "English",

isbn = "978-94-6421-169-6",

type = "Dissertation (TU Delft)",

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AU - Nieraeth, Z.

PY - 2020

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N2 - 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.

AB - 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.

KW - Banach function space

KW - Bilinear Hilbert transform

KW - Calderón-Zygmund operator

KW - Hardy-Littlewood maximal operator

KW - Limited range

KW - Muckenhoupt weights

KW - Multilinear

KW - Rubio de Francia extrapolation

KW - UMD

KW - Sparse domination

U2 - 10.4233/uuid:192f633d-1bdb-440c-b435-7c0cd0d1f648

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

M3 - Dissertation (TU Delft)

SN - 978-94-6421-169-6

ER -

Sharp Estimates and Extrapolation for Multilinear Weight Classes

Abstract

Keywords

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