The Leray transform: distinguished measures, symmetries and polygamma inequalities

Edholm, Luke D. (author), Shelah, Yonatan (author)

New symmetries, norm computations and spectral information are obtained for the Leray transform on a class of unbounded hypersurfaces in ${\mathbb C}^2$. Emphasis is placed on certain distinguished measures, with results on operator norm monotonicity established by proving new polygamma inequalities. Classical techniques of Bernstein-Widder and Euler-Maclaurin play crucial roles in our analysis. Underpinning this work is a projective geometric theory of duality, which manifests here in the form of Hölder invariance.

• Language: English
• Keywords: Leray transform, polygamma inequalities, Bernstein-Widder theorem, Euler-Maclaurin formula
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.02.2025
• Year: 2025
• Number of pages: 39 str.
• Numbering: Vol. 288, iss. 3, article no. 110746
• PID: 20.500.12556/RUL-166347
• UDC: 517.5
• ISSN on article: 0022-1236
• DOI: 10.1016/j.jfa.2024.110746
• COBISS.SI-ID: 220702979
• Publication date in RUL: 08.01.2025

Record is a part of a journal

• Title: Journal of functional analysis
• Shortened title: J. funct. anal.
• Publisher: Elsevier
• ISSN: 0022-1236
• COBISS.SI-ID: 25744384

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.