Noncyclotornic Zp-extensions of imaginary quadratic fields

Let p be an odd prime number which splits into two distinct primes in an imaginary quadratic field K. Then K has certain kinds of noncyclotomic Z(p)-extensions which are constructed through ray class fields with respect to a prime ideal lying above p. We try to show that Iwasawa invariants p and A both vanish for these specfic noncyclotomic Z(p)-extensions.