对Ｈａｒｄｙ空间Ｈ￣ｑ（Ｒ￣ｎ），，作者引进了一类新Ｈａｒｄｙ型子空间，１＜ｐ＜∞，并且给出了它在Ｍ，Ｆｒａｚｉｅｒ和Ｂ．ＪａＷｅｒｔｎ意义下的变换特征，应用这个特征，我们得到了空间的一些插值定理。特别，对作者还建立了它的Ｌｕｓｉｎ－面积特征

Let For Hardy spaces the authors introduce somenew Hardy subspacs and give their transform characterizations in M.Frazier and B,Jaweth'sense.Moreover,as applications of this character, we obtain some interpolationresults about the spaces .Specially, for the spaces ,the authors set up theirLusin-area characterization.