Abstract
There are two folds of this article. The first part is concentrating on estimates for generalized Calderón–Zygmund operators acting on Hardy spaces H p (G). Here G is a simply connected homogeneous Lie group. We also obtained estimates on the spaces L ∞(G) and BMO p (G). The second part of this article is applications of results from the first part to the -Neumann problem on bounded, smoothly pseudoconvex domains in C n+1. We obtain H p estimates for the Calderón operator when G = H n , the n-dimensional Heisenberg group.
2000 Mathematics Subject Classifications:
Acknowledgements
D.-C. Chang is partially supported by a research grant from United States Army Research Office and a Hong Kong RGC competitive earmarked research grant #600607. M.-Y. Lee is partially supported by a research grant from NSC of ROC.