Boundedness of the Ambiguity Function on Hardy and BMO Spaces

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.