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2014 | 12 | 8 | 1214-1228

Tytuł artykułu

Walsh-Marcinkiewicz means and Hardy spaces

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Języki publikacji

EN

Abstrakty

EN
The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties. With its aid we provide a necessary and sufficient condition for convergence of the Walsh-Marcinkiewicz means in terms of modulus of continuity on the Hardy space H p, and prove a strong convergence theorem for the Walsh-Marcinkiewicz means.

Wydawca

Czasopismo

Rocznik

Tom

12

Numer

8

Strony

1214-1228

Opis fizyczny

Daty

wydano
2014-08-01
online
2014-05-08

Bibliografia

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  • [3] Blahota I., Gát G., Goginava U., Maximal operators of Fejér means of double Vilenkin-Fourier series, Colloq. Math., 2007, 107(2), 287–296 http://dx.doi.org/10.4064/cm107-2-8
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Bibliografia

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bwmeta1.element.doi-10_2478_s11533-014-0406-1
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