Abstract
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 .
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