广义Abel平均在Triebel-Lizorkin空间上的收敛性

Point convergence properties of generalized Abel means on TriebelLizorkin spaces

Ｆα，ｑｐ（Ｒｎ）表示Ｒｎ上的Ｔｒｉｅｂｅｌ－Ｌｉｚｏｒｋｉｎ空间，建立了极大广义Ａｂｅｌ平均的强（Ｆ０，２ｐ，Ｌｐ）型不等式，得到了任意正阶的广义Ａｂｅｌ平均在Ｆ０，２ｐ（Ｒｎ）上的点态收敛结果．

The inequality of (0,2p,Lp)type of maximal Abel means is obtained.From this result,the generalized Abel means of any order δ>0 convergences almost everywhere on TriebelLizorkin spaces is also obtained.