Lower bound of the parabolic Hilbert commutator

Tuomas Oikari

doi:10.1016/j.aim.2022.108451

Lower bound of the parabolic Hilbert commutator

Tuomas Oikari

Matematiikan ja tilastotieteen osasto

Tutkimustuotos: Artikkelijulkaisu › Artikkeli › Tieteellinen › vertaisarvioitu

Abstrakti

Answering a key point left open in the recent work of Bongers, Guo, Li and Wick [2], we provide the lower bound ‖b‖_{BMO_γ(R²)}≲‖[b,H_γ]‖_{L^p(R²)→L^p(R²)}, where H_γ is the parabolic Hilbert transform.

Alkuperäiskieli	englanti
Artikkeli	108451
Lehti	Advances in Mathematics
Vuosikerta	404
Numero	B
Sivumäärä	32
ISSN	0001-8708
DOI - pysyväislinkit	https://doi.org/10.1016/j.aim.2022.108451
Tila	Julkaistu - 6 elok. 2022
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä, vertaisarvioitu

Lisätietoja

Publisher Copyright:
© 2022 The Author(s)

Tieteenalat

111 Matematiikka

Pääsy asiakirjaan

10.1016/j.aim.2022.108451Lisenssi: CC BY

1-s2.0-S0001870822002687-mainLopullinen julkaistu versio, 531 KBLisenssi: CC BY

Siteeraa tätä

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abstract = "Answering a key point left open in the recent work of Bongers, Guo, Li and Wick [2], we provide the lower bound ‖b‖BMOγ(R2)≲‖[b,Hγ]‖Lp(R2)→Lp(R2), where Hγ is the parabolic Hilbert transform.",

keywords = "Commutators, Parabolic BMO, Parabolic Hilbert transform, Singular integrals, 111 Mathematics",

author = "Tuomas Oikari",

note = "Funding Information: T. Oikari was supported by the Academy of Finland project numbers 306901 and 314829 , by the Finnish Centre of Excellence in Analysis and Dynamics Research project No. 307333 , by the three-year research grant of the University of Helsinki No. 75160010 and by the Jenny and Antti Wihuri Foundation grant No. 00200253 . Publisher Copyright: {\textcopyright} 2022 The Author(s)",

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AU - Oikari, Tuomas

N1 - Funding Information: T. Oikari was supported by the Academy of Finland project numbers 306901 and 314829 , by the Finnish Centre of Excellence in Analysis and Dynamics Research project No. 307333 , by the three-year research grant of the University of Helsinki No. 75160010 and by the Jenny and Antti Wihuri Foundation grant No. 00200253 . Publisher Copyright: © 2022 The Author(s)

PY - 2022/8/6

Y1 - 2022/8/6

N2 - Answering a key point left open in the recent work of Bongers, Guo, Li and Wick [2], we provide the lower bound ‖b‖BMOγ(R2)≲‖[b,Hγ]‖Lp(R2)→Lp(R2), where Hγ is the parabolic Hilbert transform.

AB - Answering a key point left open in the recent work of Bongers, Guo, Li and Wick [2], we provide the lower bound ‖b‖BMOγ(R2)≲‖[b,Hγ]‖Lp(R2)→Lp(R2), where Hγ is the parabolic Hilbert transform.

KW - Commutators

KW - Parabolic BMO

KW - Parabolic Hilbert transform

KW - Singular integrals

KW - 111 Mathematics

U2 - 10.1016/j.aim.2022.108451

DO - 10.1016/j.aim.2022.108451

M3 - Article

SN - 0001-8708

VL - 404

JO - Advances in Mathematics

JF - Advances in Mathematics

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