n维分数次Hardy算子与它的对偶算子的端点估计（英文）

Endpoint Estimates for n-Dimensional Fractional Hardy Operators and Its Dual Form

研究了n维分数次Hardy算子Hαn和其对偶算子Hα*n从加权Hardy型空间到Lebesgue空间上的有界性,得到了Hαn是(CHp0,q,0|y|q0(Rn),Lp(Rn))型算子;Hαn*是(CBp0,q|y|q0(Rn),Lp(Rn))型算子.特别地,当q0=0或p0=p时,这些结果依然成立.

In this paper,we study boundedness of n-dimensional fractional Hardy operators Hαnand its dual operators Hαn＊ from weighted Hardy type space to Lebesgue space.We get：Hαnis of type,（CHp0,q,0｜y｜q0（Rn）,Lp（Rn））;Hαn＊ is of type,（CBp0,q｜y｜q0（Rn）,Lp（Rn））.Specially,these results also be true when q0 = 0 or p0 =p.