Boletim da Sociedade Paranaense de Matemática (May 2024)
The continuous quaternion wavelet transform on function spaces
Abstract
In this paper, boundedness results for the continuous quaternion wavelet transform on Besov, $BMO$ and Hardy $H^{p}$ spaces are established. Furthermore, the continuous quaternion wavelet transform is also studied on the weighted Besov, $BMO_k$ and $H^{p}_{k}$ spaces associated with a tempered weighted function.