ABSTRACT

R"+. = Rn-] X (O,oo) = {x = (i,xn): i E Rn-1,xn > 0} In accordance with our notation conventio~ C3'(0) will denote the linear space of functions in Cg'(Rn) restricted to 0. In contrast with functions in C3'(!1), a function in C3'(0) does not necessarily vanish, together with its derivatives, on an; but every function in C3'(0), once extended by continuity to :0:, is in c:r(O).