本文得到了Hardy算子Tf(x)=integral from o to x f(t)dt从空间L^p(R_+,vdx)到L^q(R_+,Udx)有界的权函数对(u,v)的特征,其中1≤q<p<+∞,R_+=(0.+∞)对偶算子T*f(x)=integral from x to +∞ f(t)dt也有相应结果。
We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the op...We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H^1 to H^1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.展开更多
基金Supported by the National Nature Science Foundation of China(11471039)Project of Henan Provincial Department of Education(18A110028)the Nanhu Scholar Program for Young Scholars of Xinyang Normal University.
文摘本文得到了Hardy算子Tf(x)=integral from o to x f(t)dt从空间L^p(R_+,vdx)到L^q(R_+,Udx)有界的权函数对(u,v)的特征,其中1≤q<p<+∞,R_+=(0.+∞)对偶算子T*f(x)=integral from x to +∞ f(t)dt也有相应结果。
基金Supported in part by 973 plan and NSF of Zhejiang Province of China(Gl999075105)
文摘We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H^1 to H^1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.
