n-Dimensional Sobolev type spaces involving Hankel transformation

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