ABSTRACT

THEOREM 3.5m. Let a, ~. y, o and a be real numbers satisfying a ~ 0, ~ > 0, a ~ 0 and a+ 8 = ~ + y > 0. Let Po be given as in (3.5-13)or( 3.5-16) and suppose that there exists p e [p0 ,1] suchthat

and 0 :::;;; ro(p), where ro is given by (3.5-15) or (3.5-17). Let <!> e 2J

Proof We can use Theorem 3.5h to prove this result by setting

Hence the conditions of Theorem 3.5h are satisfied and the conclusions of

In the case ~ = 1 this simplifies to: if f E S *, g E _)(, a ;::: 0, and 2(1 - a) ;::: cr > 0, then