The Littlewood--Paley--Rubio de Francia property of a Banach space for the case of equal intervals

T. P. Hytönen, J. L. Torrea, D. V. Yakubovich

Let $X$ be a Banach space. It is proved that an analogue of the Rubio de Francia square function estimate for partial sums of the Fourier series of $X$-valued functions holds true…