Abstract. In this paper we introduce Sobolev type spaces associated to Bessel operators. Also we study bounded linear operators that commute with Hankel translations on $L_p$-spaces.

AMS Subject Classification (1991): 46F12

Keyword(s): Sobolev spaces, Bessel operator, Hankel convolution, Hankel transformation

Received February 5, 1999. (Registered under 2730/2009.)