Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 2
Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces
- Sayfa
- 281–290
- DOI
- —
Özet
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.
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.