1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, India;2. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India
Abstract:
This article is concerned with the study of pseudo-differential operators associated with fractional Hankel transform. The product of two fractional pseudo-differential operators is defined and investigated its basic properties on some function space. It is shown that the pseudo-differential operators and their products are bounded in Sobolev type spaces. Particular cases are discussed.