A note on the Littlewood-Paley function $g^{\ast} (f)$
A note on the Littlewood-Paley function $g^{\ast} (f)$
In a previous paper [1], we studied the functions of Littlewood-Paley, Lusin and Marcinkiewicz.And now we wish to consider a proof for the function g* independently of the decomposition theorem on Fourier series.The function g*(x,f) is defined for / of L(0,1) as follows