A Sobolev type spaceGμs,pis defined and its properties including completeness and inclusion are investigated using the theory of distributional Hankel transform. The Hankel potentialHμsis defined. It is shown that the Hankel potentialHμsis a continuous linear mapping of the Zemanian spaceHμinto itself. TheLp-space of all such Hankel potentials,Wμs,p(0,∞) is defined. It is shown thatWμs,pis a Banach space with respect to the norm ‖ ‖s,p,μ. It is also shown that the Hankel potential is an isometry ofWμs,p. AnLp-boundedness result for the Hankel potential is proved. It is shown that solutions of certain nonhomogeneous equations involving Bessel differential operators belong to these spaces.