G. VARTANIAN
ON LIMIT'S THEOREM FOR CLASS $H^1$
(7K, LATeX)

ABSTRACT.  In a recent paper by P.W.Jones and  J.Journ\'e ({\it On weak
convergence  in  $H^{1}(R^{d})$ }, Proc. Amer. Math. Soc. 120
(1994)  , 137 - 138. ) , there are some inaccuracies. In this
note,  we  give  a  counterexample  to  his  theorem  and  a
corrected form of the limit's theorem.