Bounded Linearness of Distributional Generalized Hankel-Schwartz Type Transformations on L’ p,v Spaces | Chapter 12 | Current Topics on Mathematics and Computer Science Vol. 7

 This research defines two Hankel-Schwartz transformations. The Hankel-Schwartz type transformations are specified on the Lp,v and (L' p,v) spaces. The transformations defined by (1) and (2) are also shown to be bounded linear operators of Lp,v. On the Lp,v spaces, we also investigate the behaviour of transformations defined by (3) and (4). It is further demonstrated that the transformations specified by (3) and (4) are bounded linear operators of Lp,v into Lp,2p(3(alpha)+(beta))-v and Lp,-v-2((alpha)-(beta))p, respectively. Finally, we demonstrated that distributional generalised HankelSchwartz type transformations on (L' p,v) spaces are linearly limited.

Author (S) Details

B. B. Waphare
MAEERs MIT Arts, Commerce and Science College Alandi (D), Pune, Maharashtra, India.

View Book :- https://stm.bookpi.org/CTMCS-V7/article/view/2941