Norm inequalities for the Fourier coefficients of some almost periodic functions. (March 2020)

• Record Type: Journal Article
• Authors: Boryshchak, Y.; Myers, A.; Sagher, Y.
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: Finitely additive measure spaces -- Almost periodic functions -- Paley-type theorems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111644
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Using C. Fefferman's embedding of a charge space in a measure space allows us to apply standard interpolation theorems to prove norm inequalities for Besicovitch almost periodic functions. This yields an analogue of Paley's Inequality for the Fourier coefficients of periodic functions.