Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers

Andrei K. Lerner

doi:10.4310/MRL.2019.v26.n2.a7

Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers

Andrei K. Lerner

Department of Mathematics

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

9 Scopus citations

Abstract

Quantitative weighted estimates are obtained for the Littlewood-Paley square function S associated with a lacunary decomposition of R and for the Marcinkiewicz multiplier operator. In particular, we find the sharp dependence on [w]_Ap for the L^p(w) operator norm of S for 1 < p ≤ 2.

Original language	English
Pages (from-to)	537-556
Number of pages	20
Journal	Mathematical Research Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2019.v26.n2.a7
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 International Press of Boston, Inc.. All rights reserved.

Funding

The author was supported by ISF grant No. 447/16 and ERC Starting Grant No. 713927. by ISF grant No. 447/16 and ERC Starting Grant

Funders	Funder number
Horizon 2020 Framework Programme	713927
European Commission
Israel Science Foundation	447/16

Access to Document

10.4310/MRL.2019.v26.n2.a7

Cite this

@article{c6493ddd42e2484f9e11a6734db23b26,

title = "Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers",

abstract = "Quantitative weighted estimates are obtained for the Littlewood-Paley square function S associated with a lacunary decomposition of R and for the Marcinkiewicz multiplier operator. In particular, we find the sharp dependence on [w]Ap for the Lp(w) operator norm of S for 1 < p ≤ 2.",

author = "Lerner, \{Andrei K.\}",

year = "2019",

doi = "10.4310/MRL.2019.v26.n2.a7",

language = "אנגלית",

volume = "26",

pages = "537--556",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

number = "2",

}

TY - JOUR

T1 - Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers

AU - Lerner, Andrei K.

PY - 2019

Y1 - 2019

N2 - Quantitative weighted estimates are obtained for the Littlewood-Paley square function S associated with a lacunary decomposition of R and for the Marcinkiewicz multiplier operator. In particular, we find the sharp dependence on [w]Ap for the Lp(w) operator norm of S for 1 < p ≤ 2.

AB - Quantitative weighted estimates are obtained for the Littlewood-Paley square function S associated with a lacunary decomposition of R and for the Marcinkiewicz multiplier operator. In particular, we find the sharp dependence on [w]Ap for the Lp(w) operator norm of S for 1 < p ≤ 2.

UR - https://www.scopus.com/pages/publications/85072642950

U2 - 10.4310/MRL.2019.v26.n2.a7

DO - 10.4310/MRL.2019.v26.n2.a7

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85072642950

SN - 1073-2780

VL - 26

SP - 537

EP - 556

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 2

ER -

Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this