Two-Weight Inequalities for Multilinear Commutators in Product Spaces

Emil Airta; Kangwei Li; Henri Martikainen

doi:10.1007/s11118-022-10032-x

Two-Weight Inequalities for Multilinear Commutators in Product Spaces

Emil Airta
, Kangwei Li
, Henri Martikainen

Department of Mathematics

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

1 Scopus citations

Abstract

This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolation result is used to yield the quasi-Banach range of estimates.

Original language	English
Pages (from-to)	1745-1792
Number of pages	48
Journal	Potential Analysis
Volume	59
Issue number	4
DOIs	https://doi.org/10.1007/s11118-022-10032-x
State	Published - Dec 2023

Keywords

Commutators
Multi-parameter analysis
Multilinear analysis
Singular integrals
Two-weight estimates

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10.1007/s11118-022-10032-x

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title = "Two-Weight Inequalities for Multilinear Commutators in Product Spaces",

abstract = "This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolation result is used to yield the quasi-Banach range of estimates.",

keywords = "Commutators, Multi-parameter analysis, Multilinear analysis, Singular integrals, Two-weight estimates",

author = "Emil Airta and Kangwei Li and Henri Martikainen",

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year = "2023",

month = dec,

doi = "10.1007/s11118-022-10032-x",

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T1 - Two-Weight Inequalities for Multilinear Commutators in Product Spaces

AU - Airta, Emil

AU - Li, Kangwei

AU - Martikainen, Henri

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AB - This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolation result is used to yield the quasi-Banach range of estimates.

KW - Commutators

KW - Multi-parameter analysis

KW - Multilinear analysis

KW - Singular integrals

KW - Two-weight estimates

UR - https://www.scopus.com/pages/publications/85134641452

U2 - 10.1007/s11118-022-10032-x

DO - 10.1007/s11118-022-10032-x

M3 - Article

AN - SCOPUS:85134641452

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SP - 1745

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JO - Potential Analysis

JF - Potential Analysis

IS - 4

ER -

Two-Weight Inequalities for Multilinear Commutators in Product Spaces

Abstract

Keywords

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