Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2147-3129 2147-3188 Bitlis Eren University 10.17798/bitlisfen.1732322 Operator Algebras and Functional Analysis Operatör Cebirleri ve Fonksiyonel Analiz Boundedness of the Ambiguity Function on Hardy and BMO Spaces https://orcid.org/0000-0001-5800-5558 Sandıkçı Ayşe ONDOKUZ MAYIS UNIVERSITY 03 24 2026 15 1 30 36 07 01 2025 01 09 2026 Copyright © 2012, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2012 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi

This paper demonstrates that the ambiguity function, which is well-known for its significant engineering applications, provides results on boundedness on the Hardy and BMO (Bounded Mean Oscillation) spaces, which are also of central importance in various mathematical fields of study, including Fourier and harmonic analysis. Furthermore, the study meticulously investigates the Hardy and BMO distances between two ambiguities that depend on different windows and signals.

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