Reverse Translation and Convolution Estimates in the Framework of the Mehler-Fock Transform
In this paper, reverse translation and convolution estimates in the frame of $μ^{th}$ order Mehler-Fock transform are obtained. Continuity properties of these operators on the test function space $\mathfrak{H}_{l,r,n}$ have been discussed. Moreover, Sobolev space $S_{r,p}^{N,α}$ has been introduced and again continuity properties of these operators in this Sobolev space have been discussed.
math.FA↗