Abstract
Using the theory of continuous Bessel wavelet transform in $L^2
(\mathbb{R})$-spaces, we established the Parseval and
inversion formulas for the
$L^{p,\sigma}(\mathbb{R}^+)$-
spaces. We investigate continuity and boundedness properties of Bessel
wavelet transform in Besov-Hankel spaces. Our main results: are the
characterization of Besov-Hankel spaces by using continuous Bessel
wavelet coefficient.