In the present paper we have defined pseudo-differential type operators A(x, D), B(y, D) in terms of two symbols. Further the multiplication of these two operators aldo defined. It is also shown that the pseudodifferential type opeartor and multiplication of pseudo-differential type operators are bounded in certain Sobolev type space associated with the Hankel type transform. Finally some special cases are studied.
Pseudo differential-type operator, Hankel type convolution, Bessel type operator, Hankel type transform, Sobolev type space