Title of article :
Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces
Author/Authors :
Goginava, Ushangi Tbilisi State University - Institute of Mathematics,Faculty of Exact and Natural Sciences, GEORGIA , Nagy, Karoly College of Nyıregyhaza - Institute of Mathematics and Computer Sciences, HUNGARY
Abstract :
In the present paper we prove that for any 0 p leq 2/3 there exists a martingale f in H_p such that the Marcinkiewicz-Fejér means of double conjugate Walsh-Kaczmarz-Fourier series of the martingale f is not uniformly bounded in the space L_p.
Keywords :
Walsh , Kaczmarz system , Fejér means , Marcinkiewicz means , Martingale , Hardy space
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
