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

7 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

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10.4310/mrl.2019.v26.n2.a7

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

Abstract

Bibliographical note

Funding

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