U^p_μ-Spaces And hankel Transform

Abstract

This paper extends the Hankel transformation to classes of generalized functions that behave like L^p spaces. Their constructions are reminiscent of Orlicz spaces. The paces are designed specifically for the Hankel transformation, and the associated derivations and manipulations are given. Hankel transform of generalized functions is defined and an operational-transform formula is obtained.

Keywords:

• Hankel transform
• P^p -spaces
• generalized functions
• Young's inequality

MSC(1991):

• 46F12