n-Dimensional Sobolev type spaces involving Hankel transformation

n  -Dimensional Sobolev type spaces Gμ,ps(In) and Gμ,ps(In),1⩽p<∞,μ⩾-1/2,s∈R are defined using Hankel transformation. Properties including completeness, boundedness of product and convolution are investigated in Gμ,ps(In) as well as some properties are investigated in Gμ,ps(In).