新的Hardy空间HA^p(R^n)的分子特征及其应用

THE MOLECULAR CHARACTERIZATION OF NEW HARDY HA^p (R^n)SPACES AND SOME APPLICATION

建立了与 Beufling 代数 A^p 空间有关的新 Hardy 空间 HA^p(1<p<∞)的分子结构理论.并且利用此理论证明了一类常系数椭圆微分算子本征展开的 Riesz 平均的 HA^p 有界性,其中经典的 Bochner-Riesz 平均算子的 HA^p 有界性可以作为推论被导出.

The molecular structural theory of a new Hardy spaces HA^p is established associated with the Beurling algebras A^p,1<p<∞.The HA^p boundednesses of Riesz means for eigenfunction expansions for a class of elliptic differential operators with constant co- efficients are obtained using this theory.Especially,the HA^p boundednesses of the classical Bochner-Riesz means is derived as a corollary.