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中文摘要：
众所周知,如果Calderón-Zygmund算子T满足T^＊（1）=0,则算子T在H^p,n/（n＋ε）〈p≤1上有界。这一经典结果的最新推广形式是：如果Calderón-Zygmund算子T满足T^＊（b）=0，则算子T是从经典Hardy空间H^p到一类新的Hardy空间Hb^p有界的，其中b是一个拟增长函数．本文建立了算子Tb从新的Hardy空间Hb^p到自身或到经典Hardy空间H^p的有界性，并结合已知的结果，完备了Calderón-Zygmund算子在Hardy空间上的有界性．
英文摘要：
It is well known that Calderón-Zygmund operators T are bounded on H^p for n/n＋ε 〈 P ≤ 1 provided T^＊（1） = 0. accretive function, was recently introduced A new Hardy space Hb^p, where b is a para- and the boundedness of Calderón-Zygmund operators T from the classical Hardy space H^p to the new Hardy space Hb^p was also proven if T^＊（b） = 0. In this note, the boundedness from the new Hardy space Hb^p to either Hb^p or H^p is obtained. These results together with the results mentioned above complete the boundedness of Calderón-Zygmund operators on Hardy spaces.
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