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Commutators, BMO, Hardy spaces and factorization: a survey (Q2188797)

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Language	Label	Description	Also known as
English	Commutators, BMO, Hardy spaces and factorization: a survey	scientific article

Statements

scholarly article

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Commutators, BMO, Hardy spaces and factorization: a survey (English)

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Real Analysis Exchange

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publication date

11 June 2020

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full work available at URL

https://projecteuclid.org/euclid.rae/1588989619

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zbMATH Keywords

commutator

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BMO

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Hardy space

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weak factorization

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Calderon-Zygmund operator

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MaRDI profile type

MaRDI publication profile

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Compactness properties of commutators of bilinear fractional integrals

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Compact bilinear commutators: the weighted case

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Compact bilinear operators and commutators

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Dyadic \(BMO\) on the bidisk

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Applications of commutator theory to weighted BMO and matrix analogs of \(A_ 2\)

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A Commutator Theorem and Weighted BMO

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Characterization of compactness of commutators of bilinear singular integral operators

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Characterization of compactness of the commutators of bilinear fractional integral operators

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A continuous version of duality of \(H^ 1\) with BMO on the bidisc

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Compactness of Riesz transform commutator on stratified Lie groups

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Compensated compactness and Hardy spaces

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Factorization theorems for Hardy spaces in several variables

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A lower bound criterion for iterated commutators

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Upper bound for multi-parameter iterated commutators

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Two weight commutators in the Dirichlet and Neumann Laplacian settings

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Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups

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Compactness of Riesz transform commutator associated with Bessel operators

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Commutators of multiparameter flag singular integrals and applications

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Product BMO, little BMO, and Riesz commutators in the Bessel setting

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Commutators, Little BMO and Weak Factorization

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Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting

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Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures

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A characterization of product BMO by commutators.

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Modern Fourier Analysis

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Classical Fourier Analysis

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Two Weight Inequalities for Iterated Commutators with Calder\'on-Zygmund Operators

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Commutators in the two-weight setting

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Bloom's inequality: commutators in a two-weight setting

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Weighted little BMO and two-weight inequalities for Journé commutators

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The sharp weighted bound for general Calderón-Zygmund operators

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The Holmes-Wick theorem on two-weight bounds for higher order commutators revisited

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Boundedness of commutators and \(\mathrm H^1\)-BMO duality in the two matrix weighted setting

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Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols

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BMO and commutators of martingale transforms

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Mean oscillation and commutators of singular integral operators

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Hankel forms and the Fock space

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Schatten classes and commutators of singular integral operators

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Two-weight inequalities for multilinear commutators

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Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II

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Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I

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Multi-parameter Div-Curl lemmas

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Multiparameter Riesz commutators

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Remarks on product 𝑉𝑀𝑂

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Sharp commutator estimates via harmonic extensions

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Intuitive dyadic calculus: the basics

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Commutators of singular integrals revisited

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On pointwise and weighted estimates for commutators of Calderón-Zygmund operators

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The Cauchy integral, bounded and compact commutators

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Weak Factorizations of the Hardy Space <i>H</i><sup>1</sup>(ℝ<sup><i>n</i></sup>) in Terms of Multilinear Riesz Transforms

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Bloom type upper bounds in the product BMO setting

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Representation of bi-parameter singular integrals by dyadic operators

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The proof of $A_2$ conjecture in a geometrically doubling metric space

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On bounded bilinear forms

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Weak factorization of Hardy spaces in the Bessel setting

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Higher order Journé commutators and characterizations of multi-parameter BMO

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Commutators of singular integrals on spaces of homogeneous type

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End-point estimates for iterated commutators of multilinear singular integrals

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Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol

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Bounded mean oscillation on the bidisk and the operator BMO

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Commutators, paraproducts and BMO in non-homogeneous martingale settings

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The factorization of \(H^p\) on the space of homogeneous type

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On the compactness of operators of Hankel type

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Identifiers

zbMATH Open document ID

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10.14321/realanalexch.45.1.0001

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2188797

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