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Turkish Journal of Mathematics

DOI

10.3906/mat-1006-379

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.

First Page

281

Last Page

290

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