Cesaro summability of two-parameter Walsh-Fourier series

[摘要] A new atomic decomposition of the two-parameter dyadic martingale Hardy spaces H-p defined by the quadratic variation is given. We introduce H-p-quasi-local operators and prove that if a sublinear operator V is H-p-quasi-local and bounded from L(2) to L(2) then it is also bounded from H-p to L(p) (0

[发布日期] 1997-02-01