In this article we improve the characterisation of [R.S. Pathak and S.K. Upadhyay (1994). W p -space and Fourier transformation. Proc. Amer. Math Soc ., 121 (3), 733-738.] and study the properties of pseudo-differential operator on the space , where z 1 , M 1 are convex functions and a, b are positive constants.
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