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

Ushangi GOGINAVA; Ushangi Goginava; Karoly Nagy

Makale detayları

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

Yazarlar:

Ushangi GOGINAVA | Ushangi Goginava | Karoly Nagy

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 2, pp.281-290

Belge Tipi:

Makale

Yayın Tarihi:

1/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747829

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

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.

 

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.

Makale detayları

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

Yazarlar:

Ushangi GOGINAVA | Ushangi Goginava | Karoly Nagy

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 2, pp.281-290

Belge Tipi:

Makale

Yayın Tarihi:

1/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747829

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Walsh-Kaczmarz system

Fejér means

Marcinkiewicz means

Martingale-Hardy space

Sayı

Makale detayları

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

Yazarlar: Ushangi GOGINAVA | Ushangi Goginava | Karoly Nagy

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 2, pp.281-290

Belge Tipi: Makale

Yayın Tarihi: 1/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747829

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Walsh-Kaczmarz system

Fejér means

Marcinkiewicz means

Martingale-Hardy space

Sayı

Yazarlar:

Ushangi GOGINAVA | Ushangi Goginava | Karoly Nagy

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 2, pp.281-290

Belge Tipi:

Makale

Yayın Tarihi:

1/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747829

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098