Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces

Authors : Ushangi Goginava, Ushangi Goginava, Karoly Nagy

Pages : 281-290

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In the present paper we prove that for any 0 < p \leq 2/3 there exists a martingale f in Hp such that the Marcinkiewicz-Fejér means of double conjugate Walsh-Kaczmarz-Fourier series of the martingale f is not uniformly bounded in the space Lp.
Keywords : Walsh-Kaczmarz system, Fejér means, Marcinkiewicz means, Martingale-Hardy space