正规实型对称空间上平方函数算子的弱1-1有界性

THE WEAK 1-1 BOUNDEDNESS OF SQUARE FUNCTION ON THE SYMMETRIC SPACE OF A NORMAL REAL FORM

利用正规实型对称空间上热核的一个上界估计及非紧致Riemann对称空间上热核 的一个梯度估计,证明了正规实型对称空间上的Littlewood-Paley平方函数算子的弱1-1 有界性.

By using an upper-bound estimate of the heat kernel on the Symmetric space of a normal real form and a gradient eatimate of the heat kermel on the non-compact Riemannian Symmetric space. We proved the week 1-1 boundedness of the square function on the Symmetric space of a normal real form.