On the maximal operator of Marcinkiewicz-Fejér means of the two-dimensional Walsh-Kaczmarz system.

In 2009, Goginava showed that , where is the th Marcinkiewicz-Fejér mean of the Walsh-Kaczmarz-Fourier series, is not bounded from the Hardy space to the space . The main aim of this paper is to show that the maximal operator is bounded from the Hardy space to the space . Moreover, it is proved that the order of deviant behavior of the th Walsh-Kacmarz-Marcinkiewicz-Fejér mean is exactly . [ABSTRACT FROM AUTHOR]