Inequality and Estimate of Generalized Pseudo-differential Operators Involving Fractional Fourier Transform

Firstly, we define two types of generalized pseudo-differential operators with the help of symbol classes. The main objective of this paper is to obtain some inequalities of generalized pseudo-differential operators A (x, Δ’_x) and A (x, Δ’_x) and also discuss some estimates of these operators. In this paper we will also study the order of generalized pseudo-differential operators A (x, Δ’_x) and A (x, Δ’_x) and obtain some inequalities of these operators.