Transference of Bilinear Operators between Jacobi Series and Hankel Transforms

Abstract

Fan-Sato[8] proved a tranceference theorem with respect to the multilinear operators on ${\bf R}^n$. Also Blasco-Villarroya[3] proved the similar result with repect to the biilinear operators on ${\bf Z}^2$. In this paper, we prove a tranceference theorem of the bilinear operators between Jacobi series and Hankel transforms.