International Journal of Managment, IT and Engineering
  • Year: 2013
  • Volume: 3
  • Issue: 4

Hardy type inequalities for Riemann-Liouville and Weyl transforms associated with the differential operator Sα,β

  • Author:
  • B.B. Waphare
  • Total Page Count: 17
  • Page Number: 569 to 585

MITACSC, Alandi, Pune, Tal: Khed, Dist: Pune-412105

2000 mathematics subject classifications: 46E30, 44A35

Abstract

In this paper we have constructed a differential operator Sα,β and it is used to give nice estimates for the kernels, which intervenes in the integral transform of the eigen function. Finally we have established Hardy type inequalities for Riemann-Liouville and Weyl transforms associated with the differential operator Sα,β.

Keywords

Differential operator, Hardy type inequalities, Hardy type inequalities, Hardy type operator, Integral transforms