COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY

Brett D. Wick

doi:10.14321/realanalexch.45.1.0001

COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY

Brett D. Wick

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this survey we discuss the connection between commutator operators and functions of bounded mean oscillation, and at the same time outline the parallel story of the real Hardy space and weak factorization of these functions. We provide motivation as to why these questions are interesting and highlight the many different methods of proof that exist for proving results of the type discussed.

Original language	English
Pages (from-to)	1-28
Number of pages	28
Journal	Real Analysis Exchange
Volume	45
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.45.1.0001
State	Published - 2020

Keywords

BMO
Calderón-Zygmund Operator
Commutator
Hardy space
Weak factorization

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10.14321/realanalexch.45.1.0001

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title = "COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY",

abstract = "In this survey we discuss the connection between commutator operators and functions of bounded mean oscillation, and at the same time outline the parallel story of the real Hardy space and weak factorization of these functions. We provide motivation as to why these questions are interesting and highlight the many different methods of proof that exist for proving results of the type discussed.",

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AB - In this survey we discuss the connection between commutator operators and functions of bounded mean oscillation, and at the same time outline the parallel story of the real Hardy space and weak factorization of these functions. We provide motivation as to why these questions are interesting and highlight the many different methods of proof that exist for proving results of the type discussed.

KW - BMO

KW - Calderón-Zygmund Operator

KW - Commutator

KW - Hardy space

KW - Weak factorization

UR - https://www.scopus.com/pages/publications/85125113940

U2 - 10.14321/realanalexch.45.1.0001

DO - 10.14321/realanalexch.45.1.0001

M3 - Article

AN - SCOPUS:85125113940

SN - 0147-1937

VL - 45

SP - 1

EP - 28

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 1

ER -

COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY

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Keywords

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