Some new estimates for the Cherednik–Opdam transform in the space $$L^{2}_{\alpha ,\beta }(\mathbb {R})$$ L α , β 2 ( R )

On estimates for the Fourier-Bessel transform in the space Lp(R2+,x2α1+1y2α2+1dxdy)

“…In this paper, we prove of these estimates in the space L p (R 2 + , x 2α 1 +1 y 2α 2 +1 dxdy), (1 < p ≤ 2). We point out that similar results have been established in the context of Bessel transform in the space L p (R + ), for the Dunkl transform, for the Cherednik-Opdam transform, for the Fourier transform and etc ( for example see [3][4][5][6]).…”