齐型空间上位势算子的加权不等式

Vector-valued Weighted Norm Inequalies in the Homogeneous Space

利用Ｃａｌｄｅｒｏｎ－Ｚｙｇｍｕｎｄ分解定理研究由向量值核生成的函数积分算子。得到一个将齐型空间Ｘ上的函数映到Ｘ＋＝Ｘ×［０，∞）上函数算子的带权向量值不等式。它是一般向量值不等式的推广。

Develops some aspect of a general theory parallel to the Calderon-Zygrnund theory for operator valued kernels,where the operators considered map functions defined on the homogeneous space X into functions denfined on X+=X×[0,∞).Obtains vector-valued inequalities for potential operators.