Off-Diagonal Estimates for Bi-Commutators

Emil Airta; Tuomas Hytönen; Kangwei Li; Henri Martikainen; Tuomas Oikari

doi:10.1093/imrn/rnab239

Off-Diagonal Estimates for Bi-Commutators

Emil Airta, Tuomas Hytönen, Kangwei Li, Henri Martikainen, Tuomas Oikari

Department of Mathematics

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

8 Scopus citations

Abstract

We study the bi-commutators [T₁, [b, T₂]] of pointwise multiplication and Calderón–Zygmund operators and characterize their L^p¹L^p² → L^q¹L^q² boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p₁, p₂) ≠ (q₁, q₂). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

Original language	English
Pages (from-to)	18766-18832
Number of pages	67
Journal	International Mathematics Research Notices
Volume	2022
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rnab239
State	Published - Dec 1 2022

Access to Document

10.1093/imrn/rnab239

Cite this

@article{2f5f8e72d5f34b4f8e99c0460f2c4334,

title = "Off-Diagonal Estimates for Bi-Commutators",

abstract = "We study the bi-commutators [T1, [b, T2]] of pointwise multiplication and Calder{\'o}n–Zygmund operators and characterize their Lp1Lp2 → Lq1Lq2 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p1, p2) ≠ (q1, q2). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.",

author = "Emil Airta and Tuomas Hyt{\"o}nen and Kangwei Li and Henri Martikainen and Tuomas Oikari",

year = "2022",

month = dec,

day = "1",

doi = "10.1093/imrn/rnab239",

language = "English",

volume = "2022",

pages = "18766--18832",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

number = "23",

}

TY - JOUR

T1 - Off-Diagonal Estimates for Bi-Commutators

AU - Airta, Emil

AU - Hytönen, Tuomas

AU - Li, Kangwei

AU - Martikainen, Henri

AU - Oikari, Tuomas

PY - 2022/12/1

Y1 - 2022/12/1

N2 - We study the bi-commutators [T1, [b, T2]] of pointwise multiplication and Calderón–Zygmund operators and characterize their Lp1Lp2 → Lq1Lq2 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p1, p2) ≠ (q1, q2). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

AB - We study the bi-commutators [T1, [b, T2]] of pointwise multiplication and Calderón–Zygmund operators and characterize their Lp1Lp2 → Lq1Lq2 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p1, p2) ≠ (q1, q2). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

UR - https://www.scopus.com/pages/publications/85159048052

U2 - 10.1093/imrn/rnab239

DO - 10.1093/imrn/rnab239

M3 - Article

AN - SCOPUS:85159048052

SN - 1073-7928

VL - 2022

SP - 18766

EP - 18832

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

ER -

Off-Diagonal Estimates for Bi-Commutators

Abstract

Access to Document

Other files and links

Fingerprint

Cite this