摘要
本文的目的是跟随Kahane,Katznelson和Carleson刻划正整数的那样的增加子序列{n_(j)},他们对某个p,1≤p<∞、使得■对所有m∈Z^(+)与所有f∈L^(∞)(T).
This note gives the characteristic properties of convex sequence{n_(j)}such that the n-th partial sums of Fourier series for bounded functions are bounded in the sense of the mean order p.Such sequence{n_(j)}is expressed as{n_(j)}∈p-SF,in which SF representing Hardy-Littlewood strong summability.
出处
《科学通报》
1979年第17期769-772,共4页
Chinese Science Bulletin
