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

Authors

USHANGI GOGINAVA
KAROLY NAGY

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.

DOI

10.3906/mat-1006-379

Keywords

Walsh-Kaczmarz system, Fejér means, Marcinkiewicz means, Martingale-Hardy space

First Page

281

Last Page

290

Recommended Citation

GOGINAVA, U, & NAGY, K (2012). Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces. Turkish Journal of Mathematics 36 (2): 281-290. https://doi.org/10.3906/mat-1006-379