关于Walsh-Fourier级数的几乎处处收敛问题的一点注记

A NOTE ON THE ALMOST EVERYWHERE CONVERGENCE OF WALSH FOURIER SERIES

本文证明空间C_q(1<q<∞)中函数的Walsh-Fourier级数几乎处处收敛.函数空间C_q是M.Taibleson和G.Weiss在[5]中引入的.

It is proved that the Walsh-Fourier series of any function in C_(1<q≤ ∞) is convergent almost everywhere, where C_q is the function space introduced by M. Taibleson and G. Weiss.