Abstract <p>This article explores the challenges and applications of the octonion Fourier transform, with a focus on wavelet analysis. We extend the Moritoh wavelet transform to the octonionic Besov spaces, the weighted octonionic Besov spaces, the octonionic BMO spaces, and the octonionic weighted BMO spaces. The derived bounds for the octonionic Moritoh wavelet transform in these spaces contribute to a deeper understanding of its behavior. Our findings pave the way for future research in signal processing, image analysis, and the intersection of octonion wavelet analysis with other mathematical theories.</p>