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Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓp bounds for p > 1.

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Title: Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓp bounds for p > 1.
Authors: Krause, Ben1 (AUTHOR) ben.krause@kcl.ac.uk, Roos, Joris1,2,3 (AUTHOR) joris_roos@uml.edu
Source: Journal of Functional Analysis. Nov2023, Vol. 285 Issue 10, pN.PAG-N.PAG. 1p.
Subjects: Hardy-Littlewood method, Singular integrals
Abstract: It is proved that certain discrete analogues of maximally modulated singular integrals of Stein-Wainger type are bounded on ℓ p (Z n) for all p ∈ (1 , ∞). This extends earlier work of the authors concerning the case p = 2. Some open problems for further investigation are briefly discussed. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓp bounds for p > 1.
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  Data: It is proved that certain discrete analogues of maximally modulated singular integrals of Stein-Wainger type are bounded on ℓ p (Z n) for all p ∈ (1 , ∞). This extends earlier work of the authors concerning the case p = 2. Some open problems for further investigation are briefly discussed. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.jfa.2023.110123
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Hardy-Littlewood method
        Type: general
      – SubjectFull: Singular integrals
        Type: general
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            NameFull: Krause, Ben
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              Text: Nov2023
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              Y: 2023
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