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

Matematiikan ja tilastotieteen osasto

Tutkimustuotos: Artikkelijulkaisu › Artikkeli › Tieteellinen › vertaisarvioitu

Abstrakti

We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

Alkuperäiskieli	englanti
Artikkeli	239
Lehti	International Mathematics Research Notices
Vuosikerta	2022
Numero	23
Sivut	18766–18832
Sivumäärä	67
ISSN	1073-7928
DOI - pysyväislinkit	https://doi.org/10.1093/imrn/rnab239
Tila	Julkaistu - 6 jouluk. 2022
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä, vertaisarvioitu

Tieteenalat

111 Matematiikka

Pääsy asiakirjaan

10.1093/imrn/rnab239

Siteeraa tätä

@article{f8af1bfa16384cbf861ddd552c04888e,

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

abstract = "We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.",

keywords = "111 Mathematics, Singular-integrals, Product bmo, Riesz commutators, Covering lemma, Calderon, Extension",

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

year = "2022",

month = dec,

day = "6",

doi = "10.1093/imrn/rnab239",

language = "English",

volume = "2022",

pages = "18766–18832",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

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 - 2022/12/6

Y1 - 2022/12/6

N2 - We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

AB - We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

KW - 111 Mathematics

KW - Singular-integrals

KW - Product bmo

KW - Riesz commutators

KW - Covering lemma

KW - Calderon

KW - Extension

U2 - 10.1093/imrn/rnab239

DO - 10.1093/imrn/rnab239

M3 - Article

SN - 1073-7928

VL - 2022

SP - 18766

EP - 18832

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

M1 - 239

ER -